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Popular >

simplify x^3(xy^2)(x^4y)

Solution

simplify

x^{3} (x y^{2}) (x^{4} y)

Solution

x^{8} y^{3}

Solution steps

x^{3} (x y^{2}) (x^{4} y)

Apply exponent rule:

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

x^{3} x x^{4} = x^{3 + 1 + 4}

= y^{2} x^{3 + 1 + 4} y

Add the numbers:

3 + 1 + 4 = 8

= y^{2} x^{8} y

Apply exponent rule:

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

y^{2} y = y^{2 + 1}

= x^{8} y^{2 + 1}

Add the numbers:

2 + 1 = 3

= x^{8} y^{3}

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Frequently Asked Questions (FAQ)

What is x^3(xy^2)(x^4y) ?
The solution to x^3(xy^2)(x^4y) is x^8y^3