Answer:
16
Step-by-step explanation:
Given expression:
[tex]4^{7}\times 4^{-5}[/tex]
Applying exponent rule: [[tex]a^{b} \times a^{-n} = a^{b-n}[/tex]]
[tex]\implies 4^{7 - 5}[/tex]
[tex]\implies 4^{2}[/tex]
When evaluating the exponent, we get:
[tex]\implies 4^{2} = 4 \times 4 = \boxed{16}[/tex]
Therefore, 16 is the simplified expression.
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