Question

Question 27 of 40Simplify (5-2).Ο Α.156O B.58O C. 58O D. 52

Answer 1

Step 1

Given;

`(5^(-2))^4`

Step 2

Combine the powers as follows

`(a^b)^c=a^(b* c)=a^(bc)`
`(5^(-2))^4=5^(-2*4)=5^(-8)`

Use the negative index rule

`\begin{gathered} a^(-b)=(1)/(a^b) \\ 5^(-8)=(1)/(5^8) \end{gathered}`

Answer; Option B

`(1)/(5^8)`