Answered

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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

Sagot :

Answer:

Choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.

Step-by-step explanation:

Given expression is,

[tex](4^5)(4^3)[/tex]

By applying law of exponents in the given expression,

[tex](4^5)(4^3)=4^{5+3}[/tex]

            [tex]=4^8[/tex]

[tex](4^5)(4^3)=(2^2)^5(2^2)^3[/tex]

            [tex]=(2^{2\times 5})(2^{2\times 3})[/tex]

            [tex]=2^{10}\times 2^6[/tex]  

            [tex]=2^{16}[/tex]

            [tex]=(2^4)^4[/tex]

            [tex]=(16)^4[/tex]

Therefore, choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.

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