QuestionSimplify the expression with positive exponents: $\frac{18^{12}}{18^{5}}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $\frac{18^{12}}{18^{5}}$ . . We are asked to simplify the expression and write the answer with positive exponents only.

STEP 2

We can use the rule of exponents that states $a^{m}/a^{n} = a^{m-n}$ , where $a$ is the base and $m$ and $n$ are the exponents.
$\frac{18^{12}}{18^{5}} =18^{12-5}$

STEP 3

Subtract the exponents.
$18^{12-5} =18^{7}$ So, the simplified form of the given expression is $18^{7}$ .

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