Question

tell me the solution​

Answer 1

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Given:

• $(-5)^{m-1} \times \left(\dfrac{-1}{5}\right)^{-5} = (-5)^7$

To Find:

• Value of m

Solution:

$\implies (-5)^{m-1} \times \left(\dfrac{-1}{5}\right)^{-5} = (-5)^7 \\\\ \implies (-5)^{m-1} \times (-5)^{5} = (-5)^7 \\\\ \implies (-5)^{m-1+5} = (-5)^7 \\\\ \implies (-5)^{m+4} = (-5)^7 \\\\ \implies m + 4 = 7 -----(Comparing\:powers)\\\\ \implies m = 7 - 4 \\\\ \bold{\implies m = 3}$

Formula Used:

• $a^m\times a^n = a^{m+n}$
• $\dfrac{1}{a}^-m = a^m$

Learn More:

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$

Answer 2

Answer:

M = 3 is the Answer

Step-by-step explanation:

M = 3

Hope it helps you

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