Question

Simplify: 3^-5×15^2×25/5^4.

Answer 1

Hey friend,
Here is the answer you were looking for:
$\frac{ {3}^{ - 5} \times {15}^{2} \times 25}{ {5}^{4} } \\ \\ using \: identity \\ { a}^{ - m} = \frac{1}{ {a}^{m} } \\ \\ \frac{ {15}^{2} \times {5}^{2} }{ {5}^{4} \times {3}^{5} } \\ \\ = \frac{ {3}^{2} \times {5}^{2} \times {5}^{2} }{ {5}^{4} \times {3}^{5} } \\ \\ using \: the \: identity \\ {a}^{m} \times {a}^{n} = {a}^{m - n} \\ \\ = \frac{ {3}^{2} \times {5}^{2 + 2} }{ {3}^{5} \times {5}^{4} } \\ \\ using \: the \: identity \\ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} \\ \\ = {3}^{2 - 5} \times {5}^{4 - 4} \\ \\ = {3}^{ - 3} \times {5}^{0} \\ \\ = \frac{1}{ {3}^{3} } \times 1 \\ \\ = \frac{1}{ {3}^{3} } \\ \\ = \frac{1}{27}$

Hope this helps!!!

@Mahak24

Thanks...
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