explain why 2^0 is equal to 1.

Answers

Answer 1

Answer and Step-by-step explanation:

Anything that is to the power of 0 is equal to 1. This is why 2 to the power of 0 is equal to 0.

0 is the only number such that for any number x, x + 0 = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

#teamtrees #PAW (Plant And Water)

Answer 2

Answer:

Step-by-step explanation:

multiply by 2^x

[tex]2^0 \times 2^x=2^{0+x}=2^x\\[/tex]

when you multiply any number by 1 ,you get the same number.

here when you multiply 2^x by 2^0 ,you get 2^x

Hence 2^0=1


Related Questions

Whats the name of the 40 degree angle

Answers

Answer:

Acute Angle:

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles. In the adjoining figure, ∠X0Y represents an acute angle.

Step-by-step explanation:

its acute angle. hope it helps

Answer:

Acute angle.

Step-by-step explanation:

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.Thus, this means that the angle is an Acute angle.

Does this figure have symmetry?

Answers

No because if you split it in half the halves don’t match

help ik its not math btw brainliest ill give

Answers

Answer:

Because its near water which attracts precipitation and is a center hit

Step-by-step explanation:

2 3
—- = —-
x + 2 2x - 4

Answers

Answer:

23x-4

Step-by-step explanation:

x+22x-4 ( If a term doesn't have a coefficient, it is considered that the coefficient is 1

1x+22x-4 Collect like terms by adding their coefficients (1+22)x-4

Then, add the numbers.

(1+22)x-4

23x-4

what is the area of this quadrilateral

Answers

Answer:

The area of it is 52 square feet

Maya has a car loan of $31,470. The loan has a simple interest rate of 5% per year.

What is the amount of interest that Maya will be charged on this loan at the end of one year?

Answers

Answer:

$1573.50

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 31470 × 0.05 × 1 = 1573.5

I = $ 1,573.50

The simple interest accumulated

on a principal of $ 31,470.00

at a rate of 5% per year

for 1 year is $ 1,573.50.

What is the solution to follow system of equations?

x-3y=7
2x-6y=12

Answers

No solutions. Hopefully I’m not too late. Good luck on your work.

Find the coordinates of
the image under the
transformation

Answers

X(-4,6). Y(6,5). Z(3,8)

What is the five-digit number, no zeroes, in which the second digit is three times the first, the third is one more than the second, the fourth is four times the first, and the last is one-half more than the second?

Answers

I don't know if this right but the answer is 26783

Help please. KHAN ACADEMY!!!

Answers

What is it ? There is no picture of anything

If a 9-foot flagpole casts a 6-foot shadow, how tall is the woman who casts a 4-foot shadow?

A. 7ft
B. 6 ft
C. 5.5 ft
D. 5ft

PLEASE ANSWER! AND EXPLAIN UR ANSWER CAUSE MY STAAR IS COMING UP! NO LINKS THIS IS SERIOUS!

Answers

It is A because if you subtract 9 and 6 you get 3 and then you add the 4 and get 7

What is the 18th term for the following sequence?

-3, 1, 5, 9, 13,

Answers

Answer: The Answer is 72

Step-by-step explanation:

It is quite easy if you think about it.

first you must find the rule and the pattern.

Once you find that just multiply 18 by how much of a difference there is.

The difference is 4. You must add 4.

Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 calories. Write an equation that represents C(x). Where C(x) represents the number of calories in 'x' mints. A full box of mints contains 180 calories. Determine the total number of mints in the box.

I WILL GIVE BRANLIEST PLEASE JUST ANSWER BRUV

Answers

Answer: equation is

c(x)=(10/3)x

54 mints per box

Step-by-step explanation: ok so 3 mints=10 calories

if you input 3 for number of mints, ou get 10 for caloires

10=k3

divide both sides by 3

10/3=k

therfor

C(x)=(10/3)x

full box =180 caloies

therefor

full=180=(10/3)x

multiplyboth sides by 3/10 to clear fraction (since 10/3 times 3/10=30/30=1)

540/10=x

54=x

54 cookies

what expression is this?

Answers

Answer:

the 3rd choice po

ang sagot po

What does A U B mean?

Answers

Answer:

Math:The Union of A and B is the set of all those elements which belong either to A or to B or both A and B. use the notation A U B (which is read as 'A union B') to denote the union of set A and set B.

Algebra: n(A U B) = n(A) + n(B) - n(A n B) so 20 = n(A) + 10 - 5 OR n(A) = 15.

I found these as a match for what they stand for, not sure if any of them are exactly what you need, but i hope this helps ^_^

Leah predicts that she will need to contribute $7,000 per year for college tuition and already has $4,000 in savings. She is beginning her Junior year in high school and knows she has 2 years to save to pay for her first year. How much does Leah need to put into her savings account each month to pay for her first year?

Answers

Answer:

125 Dollars

Step-by-step explanation:

Total fee = 7000

Amount in hand = 4000

Amount to be saved in 2 years = 7000 - 4000 = 3000

No of months in 2 years = 12 x 2 = 24

Per month saving = 3000 / 24 = 125 $

i need the answer pleaseee i cant figure out how to do this

Answers

319.62. You get that by multiplying the perimeter. Please mark brainliest if this was helpful and have a blessed day! <3

HELP... I will give brainliest to the best answer! :))

(a) Write 2500 in expanded notation.
(b) Write the prime factorization of 2500 using exponents
(c) Find 2500.

Answers

Answer:

a)  (2 x 1000) + (5 x 100)

b)  5^4 × 2²

c)  ??

Step-by-step explanation:

b) 2500 = 25 x 100

25 = 5 x 5

100 = 25 x 4 = 5 x 5 x 2 x 2

PLEASE HELP

1-)a circle with center ( -1,-4) that passes through (1,-1)

2-)a circle that is tangent to the x-axis, with the center located at (2,4)

Answers

Answer:

(x+1)^2 +(x+4)^2 =(3.60)^2

Step-by-step explanation:

15(t-2v)
W-
V
Make v the subject of the formula

Answers

Answer:

v=15t/(w+30)

Step-by-step explanation:

multiply by w

wv=15(t-2v)

expand brackets

wv=15t-30v

+30v on both sides

wv+30v=15t

factorize to remove v

v(w+30)=15t

divide by (w+30)

v=15t/(w+30)

After making {v} the subject of the formula, we get -

v = 15t/(w + 2).

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is to make {v} the subject of the formula -

w = 15(t - 2v)/v

The given equation is -

w = 15(t - 2v)/v

w = 15t/v - 2v/v

w = 15t/v - 2

w + 2 = 15t/v

v = 15t/(w + 2)

Therefore, after making {v} the subject of the formula, we get -

v = 15t/(w + 2).

To solve more questions on equivalent expression, visit the link-

https://brainly.com/question/1041084

#SPJ3

Classify the triangle by its angle measures. 80 30 70

Answers

Answer:

Scalene

Step-by-step explanation:

The three angles have different measures, so the sides have different lengths.

Sometimes it's hard not to assume something from a picture.  Just because two of the sides look congruent doesn't mean they are.  The information in the diagram (and geometry knowledge and logic!) are your guide.

Alberto is painting a square canvas. What is the length of each side of the canvas?
A = 121 in^2

Answers

Answer:

Step-by-step explanation:

Area = 121 in²

Length = √121 in = 11i in

If the volume of the pyramid shown is 108in, what is the area of its base? 9 in= height
a. 4 in
b. 12 in
c. 24in
d. 36 in

Answers

Answer: D, 36in.

Step-by-step explanation:

Please do this!! I really need help

Answers

Answer: 7313

Step-by-step explanation:

Is it possible to use substitution to solve a system of linear equations if one equation represents a horizontal line and the other equation represents a vertical line?

Answers

Answer:

No

Step-by-step explanation:

Horizontal line:

y = k

Vertical line:

x = m

The intersection is (m, k)

No substitution is possible, as no variables to substitute

No

One is horizontal lines

That should be in this form

y=a

a is any number

A line is vertical

x=b

Look at both equations

a and b are not equal plus there is no x in horizontal line and no y in vertical line.

There is nothing to substitute

The solution will come (b,a)

53,876 x 7.2, can't seem to find this answer

Answers

Answer: 387,907.2

Step-by-step explanation: You can use an online calculater to answer this problem. Other than that, you can use the process of long multiplication to get this answer.

–v^2 + 4v − 1 = 0

Solve using the quadratic formula

what do I do?

Answers

Answer:

The quadratic formula is ax^2+bx+c=0.

The exact answer to this is v = 2 ± √ 3

Step-by-step explanation:

10 points please help

Answers

The Answer Is 9-6i

have an amazing day <3

Answer:      9-6i

Step-by-step explanation:

What is the product of the expression? -7(-3)

Answers

Answer:

-21 is the correct answer . Hope you like my answer.

The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?

Answers

Answer:

81 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

Area of a rectangle is given by the following equation:

Area = Length × Width

A = L × W

With the above formula, we can obtain the width of the rectangular field as follow:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

A = L × W

7371 = 91 × W

Divide both side by 91

W = 7371 / 91

W = 81 m

Thus, width of the rectangular field is 81 m

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