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ValentinkaMS [17]
3 years ago
12

Which expression is equivalent to 3(sqrt)125x^6y^15z^3?

Mathematics
2 answers:
Kay [80]3 years ago
8 0
B. would be the correct choice here
nikitadnepr [17]3 years ago
3 0

Answer:

B. 5x^2 y^5 z

Step-by-step explanation:

Given expression is,

\sqrt[3]{125x^6y^{15}15z^3}

=\sqrt[3]{(5^3)(x^2)^3(y^5)^3(z)^3}      ( (a^{mn}=(a^m)^n )

=\sqrt[3]{(5x^2 y^5 z)^3}       ( a^m.b^m=(ab)^m )

=((5x^2 y^5 z)^3)^{\frac{1}{3}}    ( \sqrt[m]{a}=a^{\frac{1}{m}} )

=(5x^2 y^5 z)^{3\times {\frac{1}{3}}

=(5x^2 y^5 z)^1

=5x^2 y^5 z

Hence, option B is correct.

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\text{Hope \: I \: helped!}

\text{Best \: regards!}

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