Solve (a^-7/a^-8)^-6

$$( \frac { a ^ { - 7 } } { a ^ { - 8 } } ) ^ { - 6 }$$

Evaluate

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

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -8 from -7 to get 1.

$$\left(a^{1}\right)^{-6}$$

Calculate a to the power of 1 and get a.

$$a^{-6}$$

Expand

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

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -8 from -7 to get 1.

$$\left(a^{1}\right)^{-6}$$

Calculate a to the power of 1 and get a.

$$a^{-6}$$