Question

Simplify.
8^-4 / 8^-10
A) 8^-14
B) 8^-6
C) 8^6
D) 8^14

Answer 1

The simplified expression is 8⁶.

Explanation:

`(8^-4)/(8^-10)`

When there is a negative exponent, that term gets moved to the opposite side of the fraction and the exponent becomes positive. Example:

8⁻² =
`(1)/(8^2)` --- 8 is the same as
`(8)/(1)`, if there is nothing left on one side, it is just 1

For this problem:

`(8^-4)/(8^-10)`

We move each of the terms to the opposite side of the fraction.

`(8^10)/(8^4)`

Then, when dividing exponents, you subtract them.

8¹⁰⁻⁴ = 8⁶

The simplified expression is 8⁶.

Answer 2

The answer to this would b C i believe .