Question

Value of m in the equation 5^m÷5^(-3)=5^6​

Answer 1

$\bigstar$ Question:

$\mapsto$ Find the value of m in the equation $5^{m}$ ÷ $5^{-3} =5^{6}$

$\bigstar$ To Find :

$\mapsto$ Value of m = ?

$\bigstar$ Required Formula :

$\mapsto$ $\bf a^{m} \times a^n= a^{m+n}$

$\bigstar$ Solution :

Let us consider that,

$\mapsto$ m = m , n = -3

$\bf{\frac{5^m}{{5}^{-3}}$ = $\bf{5^{6}}$

$\bf5^{m}$ × $\bf 5^3$ = $\bf 5^6$

$\bf5^{m+3}$ = $\bf 5^6$

Comparing powers,

m + 3 = 6

m = 6 - 3

m = 3

Thus,the value of m is 3.

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