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Exercise

$\sqrt[3]{9}.\sqrt[3]{24}$

Step-by-step Solution

1

Apply the property of power of a product in reverse: $a^n\cdot b^n=(a\cdot b)^n$

$\sqrt[3]{9\cdot 24}$
2

Multiply $9$ times $24$

$\sqrt[3]{216}$
3

Rewrite $216$ as a power

$\sqrt[3]{6^{3}}$
4

Cancel exponents $3$ and $1$

$6$

Final answer to the exercise

$6$

Try other ways to solve this exercise

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  • Factor by completing the square
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