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Which property of exponents must be used first to solve this expression? (xy^2)^1/3

User BrandonS
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2 Answers

5 votes

(ab)n=anbn......................................

User WebStuff
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6 votes

Answer:

The required property of exponent is power of a product property, i.e.,
(ab)^n=a^nb^n.

Explanation:

The given expression is


(xy^2)^{(1)/(3)}

To simplify this expression the first property of exponents which is used , is the power of a product property.

According to the power of a product property of exponents


(ab)^n=a^nb^n

Using this property the given expression can be written as


(xy^2)^{(1)/(3)}=x^{(1)/(3)}(y^2)^{(1)/(3)}

Therefore the required property of exponent is power of a product property, i.e.,
(ab)^n=a^nb^n.

User Tsiorn
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