Question

simplify (16)^1/2 and (64)^1/6​

Answer 1

★given:-

• (16)^1/2 and (64)^1/6

★SOLUTION:-

$\implies \: (16) {}^{ \frac{1}{2} }$

we know that

$\implies \star \huge\pink{ n {}^{ \frac{1}{2} = \sqrt{n} } }$

can be written as

$\implies \: \sqrt{16} \\ \\ \\ \implies \: \sqrt{4 \times 4} \\ \\ \\ \implies \: 4$

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$\implies(64) {}^{ \frac{1}{6} }$

can be written as

$\implies \: (2 \times 2 \times 2 \times 2 \times 2 \times 2) \frac{1}{6}$

$\implies \: (2 {}^{6} ) {}^{ \frac{1}{6} }$

we know that

$\implies \huge\star \pink{(a {}^{m} ) {}^{n} = a {}^{m \times n} }$

$\implies \:( 2) {}^{6 \times \frac{1}{6} } \\ \\ \\ \implies \: 2$

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I hope it helps you

Answer 2

Answer is 2

Hope it is helpful