Question

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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$(a) \frac{6^{n} }{6^{ - 2} } = 6^{3}$

$\frac{6^{n} }{ \frac{1}{6^{2} } } =6^{3}$

$6^{n} \div \frac{1}{6^{2} } = 6 {}^{3}$

$6^{n} \times 6 {}^{2} = 6 {}^{3}$

$6 ^{n + 2 } = 6 {}^{3}$

$n + 2 = 3$

$n = 3 - 2 = 1$

$n = 1$

Verification:-

$\frac{6 ^{1} }{6 ^{ - 2} } = 6 ^{ 3}$

$\frac{6 {}^{1} }{ \frac{1}{6^{2} } } = 6 {}^{3}$

$6 ^{1} \times 6 ^{2} = 6 {}^{3}$

$6 {}^{3} = 6 {}^{3}$