Rewrite the fol $$ \left(\frac{5}{3}\right)^{-2} $$

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UpStudy AI · Accepted Answer

Certainly! Let's rewrite the expression:

$$
\left(\frac{5}{3}\right)^{-2}
$$

### Step 1: Understand Negative Exponents
A negative exponent indicates that you take the reciprocal of the base and then apply the positive exponent. In general:

$$
\left(\frac{a}{b}\right)^{-n} = \left(\frac{b}{a}\right)^{n}
$$

### Step 2: Apply the Rule to the Given Expression
Applying this rule to your expression:

$$
\left(\frac{5}{3}\right)^{-2} = \left(\frac{3}{5}\right)^{2}
$$

### Step 3: Simplify the Exponent
Now, square both the numerator and the denominator:

$$
\left(\frac{3}{5}\right)^{2} = \frac{3^2}{5^2} = \frac{9}{25}
$$

### Final Answer
$$
\left(\frac{5}{3}\right)^{-2} = \frac{9}{25}
$$
$$ \left(\frac{5}{3}\right)^{-2} = \frac{9}{25} $$

Rewrite the fol

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