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Nezavi [6.7K]
3 years ago
10

Select the correct answer. Simplify the expression. (see the screenshot)

Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:

Option D

Step-by-step explanation:

Given expression has been given as,

\sqrt[5]{224x^{11}y^8}

\sqrt[5]{224x^{11}y^8}=\sqrt[5]{2\times 2\times 2\times 2\times 2\times 7(x^{11})(y^8)}

                 =\sqrt[5]{(2^5)\times (7)(x^{10}\times x)(y^5\times y^3)}

                 =2^{\frac{5}{5}}\times 7^{\frac{1}{5}}\times x^{\frac{10}{5}}\times x^{\frac{1}{5}}\times y^{\frac{5}{5} }\times y^{\frac{3}{5} }

                 =2\times 7^{\frac{1}{5}}\times x^2\times y\times x^{\frac{1}{5} }\times y^{\frac{3}{5} }

                 =2x^2y\sqrt[5]{7xy^3}

Option D will be the answer.

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