Question

Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4

Answer 1

Choices given as
`2^(16), 4^8` and
`16^4` are correct.

Explanation:

Given expression is,

`(4^5)(4^3)`

By applying law of exponents in the given expression,

`(4^5)(4^3)=4^(5+3)`

`=4^8`

`(4^5)(4^3)=(2^2)^5(2^2)^3`

`=(2^(2* 5))(2^(2* 3))`

`=2^(10)* 2^6`

`=2^(16)`

`=(2^4)^4`

`=(16)^4`

Therefore, choices given as
`2^(16), 4^8` and
`16^4` are correct.