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Exponents (Including Laws of Exponents) — MATHS STD 7 — Question

ICSE BoardEnglish MediumSTD 7MATHSExponents (Including Laws of Exponents)2 Marks
Question
Evaluate: $5^{\mathrm{n}} \times 25^{\mathrm{n}-1} \div\left(5^{\mathrm{n}-1} \times 25^{\mathrm{n}-1}\right)$
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Answer


$\begin{aligned} & 5^{\mathrm{n}} \times 25^{\mathrm{n}-1} \div\left(5^{\mathrm{n}-1} \times 25^{\mathrm{n}-1}\right) \\ & =5^{\mathrm{n}} \times 25^{\mathrm{n}-1} \times \frac{1}{\left(5^{\mathrm{n}-1} \times 25^{\mathrm{n}-1}\right)} \\ & =5^{\mathrm{n}} \times \frac{1}{5^{\mathrm{n}-1}}=5^{\mathrm{n}-\mathrm{n}+1}=5^1\end{aligned}$

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