Question

Please answer the following question step by step
$^{3} \sqrt{1024} \times ^{3} \sqrt{32}$
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Answer 1

Step-by-step explanation:

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Answer 2

ANSWER:

$32$

EXPLANATION:

$\sqrt[3]{1024} \times \sqrt[3]{32}$

$= \sqrt[3]{ {2}^{10} } \times \sqrt[3]{ {2}^{5} }$

$= \sqrt[3]{ {2}^{3} \times {2}^{3} \times {2}^{3} \times 2} \times \sqrt[3]{ {2}^{3} \times {2}^{2} }$

$= 2 \times 2 \times 2 \times \sqrt[3]{2} \times 2 \times \sqrt[3]{ {2}^{2} }$

$= 2 \times 2 \times 2 \times 2 \times \sqrt[3]{2} \times \sqrt[3]{ {2}^{2} }$

$= 16 \times \sqrt[3]{2 \times {2}^{2} }$

$= 16 \times \sqrt[3]{{2}^{1 + 2} }$

$= 16 \times \sqrt[3]{ {2}^{3} }$

$= 16 \times 2$

$= 32$

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