QuestionSimplify the expression $\left(\frac{y}{x}\right)^{9}$ using exponent properties, showing only positive exponents.

Studdy Solution

STEP 1

Assumptions1. The expression is $\left(\frac{y}{x}\right)^{9}$ . We need to simplify the expression using the properties of exponents3. The final answer should only include positive exponents

STEP 2

The property of exponents states that $\left(\frac{a}{b}\right)^{n} = \frac{a^{n}}{b^{n}}$ . We will use this property to simplify the given expression.
$\left(\frac{y}{x}\right)^{9} = \frac{y^{9}}{x^{9}}$

STEP 3

The expression is now simplified and all exponents are positive.
$\frac{y^{9}}{x^{9}}$ The simplified expression is $\frac{y^{9}}{x^{9}}$ .

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