Simplify
Simplify Simplify

A

Step-by-step explanation:

When taking an exponent of an exponent, you simply multiply the exponents.

2*4=8, so we have .

Step-by-step explanation:

Simplify: [(8)^2/3]^4

(a) 8^8/3

(b) 8^6/3

(c) 8^6/12

Solution:

[(8)^2/3]^4

use the rules of exponents to simplify the expression.

=> [(8)^2/3]^4

To raise a power to another power multiply the exponents.

=> (8)^2/3 × 4

Multiply 2/3 times 4.

=> (8)^8/3

Option (c) (8)^8/3 is your correct answer.

Given,

[(8)^2/3]^4

=> [(8^3)^2/3]^4

=> [(2)^3×2/3]^4

=> [(2)^2]^4

=> (2)^2×4

=> (2)^8

=> 2^8

=> 2×2×2×2×2×2×2×2

=> 256 Ans.

Hope this helps!!

option: d is correct

step-by-step explanation: