Question

$3 \times {3}^{5a} \div {9}^{2a } = \frac{1}{27}$
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Answer 1

Answer:

$3\times {3}^{5a} \div {9}^{2a } = \frac{1}{27}$

$3 \times \frac{3 {}^{5a} }{3 {}^{4a} } = \frac{1}{27}$

$3 \times 3 {}^{a} = \frac{1}{3 {}^{3} }$

$3 {}^{a + 1} = 3 {}^{ - 3}$

a + 1 = - 3

a = -4