Question

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

Answer 1

Answer:

The simplified expression is 8⁶.

Step-by-step explanation:

$\frac{8^-4}{8^-10}$

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 = $\frac{1}{8^2}$ --- 8 is the same as $\frac{8}{1}$, if there is nothing left on one side, it is just 1

For this problem:

$\frac{8^-4}{8^-10}$

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

$\frac{8^10}{8^4}$

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 .