Algebra Examples

${(125 x)}^{\frac{5}{3}}$

Step 1

Apply the product rule to $125 x$ .

$125^{\frac{5}{3}} x^{\frac{5}{3}}$

Step 2

Rewrite $125$ as $5^{3}$ .

${(5^{3})}^{\frac{5}{3}} x^{\frac{5}{3}}$

Step 3

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

$5^{3 (\frac{5}{3})} x^{\frac{5}{3}}$

Step 4

Cancel the common factor of $3$ .

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Step 4.1

Cancel the common factor.

$5^{3 (\frac{5}{3})} x^{\frac{5}{3}}$

Step 4.2

Rewrite the expression.

$5^{5} x^{\frac{5}{3}}$

Step 5

Raise $5$ to the power of $5$ .

$3125 x^{\frac{5}{3}}$