Question

Which expression is equal to the expression below?

(2* 6)^4

A.2*(6)^4
B.2^4*6^4
C.4*(2*6)
D.8^4

Answer 1

The answer is B The exponent of 4 goes to the 2 as well as the 6

Answer 2

B)
`2^(4) * 6^(4)`.

Explanation:

Given :
`(2 * 6)^(4)`.

To find : Which expression is equal to the expression below.

Solution: We have given that
`(2 * 6)^(4)`.

By the exponential rule :
`(a *b)^(c)\ =\ a^(c) * b^(c)`.

Here , a = 2 , b = 6 , c = 4

`(2 *6)^(4)\ =\ 2^(4) * 6^(4)`.

Therefore, B)
`2^(4) * 6^(4)`.