If p and q are two natural numbers and p^q = 16, then q^pq is ............

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09-07-2021
Mathematics

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If p and q are two natural numbers and p^q = 16, then q^pq is ............

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kamilmatematik100504 kamilmatematik100504 · Answer 1 · 2021-07-09T13:11:39+02:00

kamilmatematik100504 kamilmatematik100504

09-07-2021

[tex]\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^{pq}=4^{2\cdot 4}= 4^{8}=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^{pq}=2^{4\cdot2} =256[/tex]

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