Question

find the value of m which 5^m÷5^-3=5^3​

Answer 1

5^m÷5^-3=5^3

or, 5^m+3 = 5^3

or, m+3 =3

or, m=0.

Answer 2

Step-by-step explanation:

$5^{m}÷5^{3} = 5^{3}$

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

$\implies 5^{m+3}=5^{3}$

$Since \: base \: are \: equal, \: so \: the \: exponent \: will \: be \: equal$

$\implies m+3 = 3$

$\implies m = 3-3$

$\implies m=0$