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Exercise

$x\sqrt[3]{25x}$

Step-by-step Solution

1

The power of a product is equal to the product of it's factors raised to the same power

$\sqrt[3]{25}x\sqrt[3]{x}$
2

When multiplying exponents with same base you can add the exponents: $\sqrt{x}$

$\sqrt[3]{25}x^{\frac{1}{3}+1}$
3

Simplify the addition $\frac{1}{3}+1$

$\sqrt[3]{25}x^{\frac{1+1\cdot 3}{3}}$
4

Any expression multiplied by $1$ is equal to itself

$\sqrt[3]{25}x^{\frac{1+3}{3}}$
5

Add the values $1$ and $3$

$\sqrt[3]{25}x^{\frac{4}{3}}$

Final answer to the exercise

$\sqrt[3]{25}x^{\frac{4}{3}}$

Try other ways to solve this exercise

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Main Topic: Equivalent Expressions

Two algebraic expressions are equivalent if they stay equal to each other, for any values their variables can take.

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