Question

Find the value of 'm' for which 6^m / 6^-3 = 6^5?​ got the answer 2

Answer 1

GIVEN :

The expression is  $\frac{6^m}{6^{-3}}=6^5$

TO FIND :

The value of 'm' for which the expression  $\frac{6^m}{6^{-3}}=6^5$

SOLUTION :

Given expression is $\frac{6^m}{6^{-3}}=6^5$

Now solving the given expression to get the value of m in the expression.

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

$6^m=6^5\times 6^{-3}$

By using the Exponent property is given by:

$a^m.a^n=a^{m+n}$

$6^m=6^{5-3}$

$6^m=6^2$

Since the bases are same we can equate the powers we get,

m=2

∴ the value of m in the given expression  $\frac{6^m}{6^{-3}}=6^5$ is 2

∴  the value is m=2

Answer 2

GIVEN :

The expression is

TO FIND :

The value of 'm' for which the expression

SOLUTION :

Given expression is

Now solving the given expression to get the value of m in the expression.

By using the Exponent property is given by:

Since the bases are same we can equate the powers we get,

m=2

∴ the value of m in the given expression is 2

∴ the value is m=2