Question

Find the value of 'm' for which
$6 ^{m} /6 ^{ - 3} = 6 ^{5}$
​

Answer 1

Answer:

Given expression is \frac{6^m}{6^{-3}}=6^56−36m=65

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

\frac{6^m}{6^{-3}}=6^56−36m=65

6^m=6^5\times 6^{-3}6m=65×6−3

By using the Exponent property is given by:

a^m.a^n=a^{m+n}am.an=am+n

6^m=6^{5-3}6m=65−3

6^m=6^26m=62

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

m=2

∴ the value of m in the given expression  $\sf{\dfrac{6^m}{6^{-3} = 65}$ is 2

∴ The value is m=2

Answer 2

Answer:

68 is answer

Step-by-step explanation:

6m/6 -3 =65

or, m-3 =65

or, m=65+3

m =68