Question

Which of the following is equal to the expression below?(4 53ОА.1415B.1OB.142O c. – 42D. -415

Answer 1

Recall the following properties of exponentials:

`\begin{gathered} (a^n)^m=a^(n* m) \\ \\ a^(-n)=(1)/(a^n) \end{gathered}`

Use these two properties in that order to find another expression for the same number:

`(4^(-5))^3=4^(-5*3)=4^(-15)=(1)/(4^(15))`

Therefore, the correct choice is option A)

`(1)/(4^(15))`