Question

Simplify 6 to the negative 3rd power over 6 to the 5th. 68 6−2 1 over 6 to the 8th power 1 over 6 to the 2nd power

Answer 1

$\frac{ 6^{-3}}{ 6^{5} } = 6^{-3 -5} = 6^{-8}$

$\frac{ 6^{8} }{ 6^{2} } = 6^{8-2} = 6^{6}$

Answer 2

Answer:

The correct option is C) 1 over 6 to the 8th power.

Step-by-step explanation:

Consider the provided expression.

6 to the negative 3rd power over 6 to the 5th. This can be written as:

$\frac{6^{-3}}{6^5}$

Apply the exponent rule: $\frac{x^a}{x^b}=\frac{1}{x^{b-a}}$

By using the above rule.

$\frac{1}{6^{5-(-3)}}$

$\frac{1}{6^{5+3}}$

$\frac{1}{6^{8}}$

Hence, the simplified form is $\frac{1}{6^{8}}$

Thus, the correct option is C) 1 over 6 to the 8th power.