Find the missing value for

Question

2^16/2^?=2^7

Answer 1

To solve for the missing value, let's rewrite the equation using exponent properties:

2^16/2^? = 2^7.

Using the quotient rule of exponents, we can subtract the exponents:

2^(16-?) = 2^7.

Since the bases (2) are the same, the exponents must also be equal. Therefore,

16 - ? = 7.

To find the missing value, we can solve for "?":

16 - 7 = ?.

? = 9.

So the missing value is 9.

Therefore, 2^16/2^9 = 2^7.

Answer 2

Find the missing value for

2^8/2^?=2^15

Answer 3

To solve for the missing value, let's rewrite the equation using exponent properties:

2^8/2^? = 2^15.

Using the quotient rule of exponents, we can subtract the exponents:

2^(8 - ?) = 2^15.

Since the bases (2) are the same, the exponents must also be equal. Therefore,

8 - ? = 15.

To find the missing value, we can solve for "?":

8 - 15 = ?.

? = -7.

So the missing value is -7.

Therefore, 2^8/2^-7 = 2^15.

Answer 4

Simplify the following in exponential form

5^10/5

Answer 5

To simplify the expression 5^10/5, we'll use the quotient rule of exponents:

a^m / a^n = a^(m-n)

In this case, a = 5, m = 10, and n = 1:

5^10 / 5 = 5^(10-1) = 5^9

Therefore, the simplified form in exponential form is 5^9.

Answer 6

Simplify the following in exponential form

x^17/x^-6

Answer 7

To simplify the expression x^17/x^(-6), we'll use the quotient rule of exponents:

a^m / a^n = a^(m-n)

In this case, a = x, m = 17, and n = -6:

x^17 / x^(-6) = x^(17-(-6)) = x^(17+6) = x^23

Therefore, the simplified form in exponential form is x^23.