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Which expression is equivalent to 3√32x^8y^10?

Which expression is equivalent to 3√32x^8y^10?-example-1
User Cornish
by
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2 Answers

4 votes

Answer:

Third option is correct.

Explanation:

The given expression is,


\sqrt[3]{32x^8y^(10)}

The expression can be written as,


\sqrt[3]{(2)^5x^8y^(10)}

Use exponent rule
x^(m+n)=x^m.x^n,


\sqrt[3]{(2)^(3+2)x^(6+2)y^(9+1)}


\sqrt[3]{2^3* 2^2* x^6* x^2* y^9* y}


\sqrt[3]{2^3* (x^2)^3* (y^3)^3* 2^2* x^2* y}


\sqrt[3]{(2x^2y^3)^3* 2^2* x^2* y}


2x^2y^3\sqrt[3]{2^2* x^2* y}


2x^2y^3\sqrt[3]{4x^2y}

Therefore the third option is correct.

User Lsimmons
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Which expression is equivalent to 3√32x^8y^10?-example-1
User Steve Hart
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