Question

5 ka power m / 5 power -3 = 5 power -3​

Answer 1

$\mathfrak{\huge{Answer:}}$

$\mathbb{GIVEN\:IS\:THAT}$

The equation $\tt{5^m\div 5^-3 = 5^-3 }$

$\mathbb{WE\:NEED\:TO\:FIND}$

The value of m in the given equation

$\mathbb{THE\:METHOD\:IS}$

For solving this question, you need to know the rules of exponents, or say, powers. The rule we'll use here is :

$\tt{a^{m} \times a^{n} = a^{m+n}}$

Where, a = any constant number, and
n and m = the exponents, or say, powers

$\sf{5^{m} \div 5^{(-3)} = 5^{(-3)}}$

Solve this formed equation further

=》 $\sf{5^{m} = 5^{(-3)} \times 5^{(-3)}}$

Solve it further

=》 $\sf{5^{m} = 5^{-3+(-3)}}$

Some more steps to go

=》 $\sf{5^{m} = 5^{(-6)}}$

Bases are same. Taking powers only :-

=》 m = (-6)

Thus, the value of m is $\tt{\huge{(-6)}}$