Mathematics
04.05.2021 11:28
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What is the following sum? ^3√125x^10y^13+^3√27x^10y^13

What is the following sum? ^3√125x^10y^13+^3√27x^10y^13
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azibur3191
azibur3191
4,9(23 marks)

8x^3y^4(3 sqrt xy) LETTER A :)

sarahfsakrani
sarahfsakrani
4,6(49 marks)

The sum of given expression \sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13} is Β 8x^{10}y^{13}

Step-by-step explanation:

Β Given : expression \sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}

We have find the sum of given expression \sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}

Consider the given expression \sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}

\sqrt[3]{125}=\sqrt[3]{5\times 5 \times 5}=\sqrt[3]{5^3}

Apply radical rule, \sqrt[n]{a^n}=a

we have, \sqrt[3]{125}=\sqrt[3]{5^3}=5

Also, Β \sqrt[3]{27}=\sqrt[3]{3\times 3 \times 3}= \sqrt[3]{3^3}

Apply radical rule, \sqrt[n]{a^n}=a

we have, \sqrt[3]{27}=\sqrt[3]{3^3}=3

Thus, given expression becomes,

\sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}

\Rightarrow 5x^{10}y^{13}+3x^{10}y^{13}

Simplify, we get,

\Rightarrow 8x^{10}y^{13}

Thus, the sum of given expression \sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13} is Β 8x^{10}y^{13}

pinolena64
pinolena64
4,8(94 marks)
I’m not sure what the answer is

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