Question

If 6m = 46656, what is the value of 6m-2 ?

Answer 1

6m=46656

6m-2

=46656-2

=46654

so 6m-2=46654

Answer 2

Answer:

$6^{m-2}$=1296

Step-by-step explanation:

If $6^m = 46656$

Find the value of $6^{m-2}$

We can write this as:

$6^{m-2} =6^m \cdot 6^{-2}$

Use exponent  rule:

$a^{-m} = \frac{1}{a^m}$

then;

$6^{m-2} = \frac{6^m}{6^2} =\frac{6^m}{36}$

Substitute the given values we have;

$6^{m-2} = \frac{46656}{36} =1296$

Therefore, the value of $6^{m-2}$ is, 1296