Question

Can u pls solve this​

Answer 1

Step-by-step explanation:

5^4÷5^2

=5^2/4

=5^2

hope this helps you mate ✨

Answer 2

$\large\sf\underline{Given\::}$

• $\sf\:5^{4} \div 5^{2}$

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$\large\sf\underline{To\:\::}$

• Simplify the given expression

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$\large\sf\underline{Solution\::}$

$\sf\:5^{4} \div 5^{2}$

$\sf\implies\:\frac{5^{4}}{5^{2}}$

Using indices formula ,

★ $\small{\underline{\boxed{\mathrm\pink{\frac{a^{m}}{a^{n}}=a^{m-n}}}}}$

$\sf\implies\:5^{4-2}$

$\sf\implies\:5^{2}$

$\sf\implies\:5 \times 5$

$\large{\mathfrak\red{\implies\:25}}$

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______________________

$\large\sf\underline{Indices\:some\:more\:formula\::}$

• $\sf\:a^{m} \times a^{n} = a^{m+n}$

• $\sf\:(a^{m})^{n} = a^{m \times n}$

• $\sf\:a^{0}=1$

• $\sf\:(ab)^{m}=a^{m} \times a^{n}$

• $\sf\:a^{\frac{n}{m}}=\sqrt[m]{{x}^{n}}$‎ ‎

• $\sf\:(\frac{a}{b})^{m}=\frac{a^{m}}{b^{m}}$

• $\sf\:\frac{a^{m}}{a^{n}}=a^{m-n}$

• ‎ $\sf\:a^{1}=a$

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!! Hope it helps !!