Question

Find the equivalent exponential expression. [(-4)^5]^3

Answer 1

`-4^(15)`

Explanation:

Given expression:

`\left[(-4)^5\right]^3`

`\textsf{Apply exponent rule} \quad (a^b)^c=a^(bc):`

`\implies (-4)^((5 * 3))`

`\implies (-4)^(15)`

`\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:`

`\implies -4^(15)`