Solve f(8r^-5)^-3?

$$f ( 8 r ^ { - 5 } ) ^ { - 3 } ?$$

Evaluate

$$\frac{fr^{15}}{512}$$

Solution Steps

Expand \left(8r^{-5}\right)^{-3}.

$$f\times 8^{-3}\left(r^{-5}\right)^{-3}$$

To raise a power to another power, multiply the exponents. Multiply -5 and -3 to get 15.

$$f\times 8^{-3}r^{15}$$

Calculate 8 to the power of -3 and get \frac{1}{512}.

$$f\times \frac{1}{512}r^{15}$$

Expand

$$\frac{fr^{15}}{512}$$

Solution Steps

Expand \left(8r^{-5}\right)^{-3}.

$$f\times 8^{-3}\left(r^{-5}\right)^{-3}$$

To raise a power to another power, multiply the exponents. Multiply -5 and -3 to get 15.

$$f\times 8^{-3}r^{15}$$

Calculate 8 to the power of -3 and get \frac{1}{512}.

$$f\times \frac{1}{512}r^{15}$$