Simplify ((4/3)^2x)^1

${({(\frac{4}{3})}^{2} x)}^{1}$

Step 1

Simplify the expression.

Apply the product rule to $\frac{4}{3}$ .

${(\frac{4^{2}}{3^{2}} x)}^{1}$

Raise $4$ to the power of $2$ .

${(\frac{16}{3^{2}} x)}^{1}$

Raise $3$ to the power of $2$ .

${(\frac{16}{9} x)}^{1}$

${(\frac{16}{9} x)}^{1}$

Step 2

Combine $\frac{16}{9}$ and $x$ .

${(\frac{16 x}{9})}^{1}$

Step 3

Simplify.

$\frac{16 x}{9}$

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