Question

Simplify the following using laws of exponents 5 power 7 / 5 power 2​

Answer 1

Answer:

3125 is the answer

Step-by-step explanation:

$\frac{ {5}^{7} }{ {5}^{2} }$

a^m /a^n= a^m-n------division rule

${5}^{7 - 2}$

$= {5}^{5}$

$= 3125$

Mark Brainliest Plz❣️

Answer 2

$\large\sf\underline{Given}$

• $\sf\:\frac{5^{7}}{5^{2}}$

$\large\sf\underline{Solution}$

$\sf\:\frac{5^{7}}{5^{2}}$

$\sf➛\:5^{7-2}$

${\sf{{\purple{➤\:5^{5}}}}}$

$\sf➛\:5 \times 5 \times 5 \times 5 \times 5$

${\sf{{\purple{➤\:3125}}}}$

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$\large\sf\underline{Concept\:used}$

$\sf➺\:\frac{a^{n}}{a^{n}}$

$\sf➺\:a^{m-n}$

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Happy Solving !¡