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Popular >

simplify (xy)(x^2y)

Solution

simplify

(x y) (x^{2} y)

Solution

x^{3} y^{2}

Solution steps

(x y) (x^{2} y)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{2} = x^{1 + 2}

= y x^{1 + 2} y

Add the numbers:

1 + 2 = 3

= y x^{3} y

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

yy = y^{1 + 1}

= x^{3} y^{1 + 1}

Add the numbers:

1 + 1 = 2

= x^{3} y^{2}

Popular Examples

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derivative of sqrt(x/y)

\frac{d}{d x} (\frac{x}{y})

simplify sqrt((x+10)(x-10))simplify

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4 4 9^{2}

simplify (1.5*10^3)(2.4*10^{14})simplify

(1.5 \cdot 1 0^{3}) (2.4 \cdot 1 0^{14})

Frequently Asked Questions (FAQ)

What is (xy)(x^2y) ?
The solution to (xy)(x^2y) is x^3y^2