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Popular >

simplify (x^3y)(y^3x)

Solution

simplify

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

Solution

x^{4} y^{4}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

= y y^{3} x^{4}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= y^{4} x^{4}

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Frequently Asked Questions (FAQ)

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