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lubasha [3.4K]
3 years ago
9

PLEASE HELP. I WILL VERY MUCH APPRECIATE IT!!!

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:

10 centimeters

Step-by-step explanation:

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What is the simplest form of ^4 sqrt 81x^8y^5
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ANSWER

3 {x}^{2} y \sqrt[4]{y}

EXPLANATION

We want to simplify:

\sqrt[4]{81 {x}^{8} {y}^{5}  }

We can split the radical sign to obtain:

\sqrt[4]{81}  \times  \sqrt[4]{ {x}^{8} }  \times  \sqrt[4]{ {y}^{5} }

Or

\sqrt[4]{81}  \times  \sqrt[4]{ {x}^{8} }  \times  \sqrt[4]{ {y}^{4}  \times y}

\sqrt[4]{81}  \times  \sqrt[4]{ {x}^{8} }  \times  \sqrt[4]{ {y}^{4}}  \times  \sqrt[4]{y}

\sqrt[4]{ {3}^{4} }  \times  \sqrt[4]{ {x}^{8} }  \times  \sqrt[4]{ {y}^{4}}  \times  \sqrt[4]{y}

Recall that:

\sqrt[n]{ {a}^{m} }  =  {a}^{ \frac{m}{n} }

{3}^{4 \times  \frac{1}{4} }  \times  {x}^{8 \times  \frac{1}{4}  }  \times  {y}^{4 \times  \frac{1}{4} }\times  \sqrt[4]{y}

3 {x}^{2} y \sqrt[4]{y}

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76-10= 66 years old

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