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george8396
27.07.2019 •
Mathematics
What is the following sum? ^3√125x^10y^13+^3√27x^10y^13
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Ответ:
8x^3y^4(3 sqrt xy) LETTER A :)
Ответ:
The sum of given expression
is ![8x^{10}y^{13}](/tpl/images/0138/4721/be52d.png)
Step-by-step explanation:
Given : expression![\sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}](/tpl/images/0138/4721/e5293.png)
We have find the sum of given expression![\sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}](/tpl/images/0138/4721/e5293.png)
Consider the given expression![\sqrt[3]{125}x^{10}y^{13}+\sqrt[3]{27}x^{10}y^{13}](/tpl/images/0138/4721/e5293.png)
Apply radical rule,![\sqrt[n]{a^n}=a](/tpl/images/0138/4721/b69f6.png)
we have,![\sqrt[3]{125}=\sqrt[3]{5^3}=5](/tpl/images/0138/4721/53c3c.png)
Also,![\sqrt[3]{27}=\sqrt[3]{3\times 3 \times 3}= \sqrt[3]{3^3}](/tpl/images/0138/4721/50704.png)
Apply radical rule,![\sqrt[n]{a^n}=a](/tpl/images/0138/4721/b69f6.png)
we have,![\sqrt[3]{27}=\sqrt[3]{3^3}=3](/tpl/images/0138/4721/302e5.png)
Thus, given expression becomes,
Simplify, we get,
Thus, the sum of given expression
is ![8x^{10}y^{13}](/tpl/images/0138/4721/be52d.png)
Ответ:
1/10 Is the same as 10% as well