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Exercise

$\left(\sqrt[3]{4x}\right)\left(\sqrt[3]{25x}\right)$

Step-by-step Solution

1

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

$\sqrt[3]{4}\sqrt[3]{25}\sqrt[3]{x}\cdot \sqrt[3]{x}$
2

When multiplying exponents with same base we can add the exponents

$\sqrt[3]{4}\sqrt[3]{25}x^{\left(\frac{1}{3}+\frac{1}{3}\right)}$
3

Combine fractions with common denominator $3$

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

Add the values $1$ and $1$

$\sqrt[3]{4}\sqrt[3]{25}x^{\frac{2}{3}}$

Final answer to the exercise

$\sqrt[3]{4}\sqrt[3]{25}x^{\frac{2}{3}}$

Try other ways to solve this exercise

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  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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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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