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

Answer:

Choices given as $2^{16}, 4^8$ and $16^4$ are correct.

Step-by-step explanation:

Given expression is,

$(4^5)(4^3)$

By applying law of exponents in the given expression,

$(4^5)(4^3)=4^{5+3}$

            $=4^8$

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

            $=(2^{2\times 5})(2^{2\times 3})$

            $=2^{10}\times 2^6$  

            $=2^{16}$

            $=(2^4)^4$

            $=(16)^4$

Therefore, choices given as $2^{16}, 4^8$ and $16^4$ are correct.