Simplify 36^x*6^(x-2)

$36^{x} \cdot 6^{x - 2}$

Step 1

Rewrite $36$ as $6^{2}$ .

${(6^{2})}^{x} \cdot 6^{x - 2}$

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$6^{2 x} \cdot 6^{x - 2}$

Step 3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$6^{2 x + x - 2}$

Step 4

Add $2 x$ and $x$ .

$6^{3 x - 2}$