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Irina18 [472]
3 years ago
15

Express using a radical (picture provided)

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

C

Step-by-step explanation:

First note that

\dfrac{1}{3}=\dfrac{5}{15}\Rightarrow x^{\frac{1}{3}}=x^{\frac{5}{15}};\\ \\\\\dfrac{1}{5}=\dfrac{3}{15}\Rightarrow y^{\frac{1}{5}}=y^{\frac{3}{15}}

Now use the property

a^n\cdot b^n=(ab)^n,

so

x^{\frac{5}{15}}\cdot y^{\frac{3}{15}}=(x^5)^{\frac{1}{15}}\cdot (y^3)^{\frac{1}{15}}=(x^5y^3)^{\frac{1}{15}}.

Since a^{\frac{1}{15}}=\sqrt[15]{a},

you have

15(x^5y^3)^{\frac{1}{15}}=15\sqrt[15]{x^5y^3} .

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