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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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