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Popular >

simplify (x^2y^5)(x^4y)

Solution

simplify

(x^{2} y^{5}) (x^{4} y)

Solution

x^{6} y^{6}

Solution steps

(x^{2} y^{5}) (x^{4} y)

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= y^{5} x^{2 + 4} y

Add the numbers:

2 + 4 = 6

= y^{5} x^{6} y

Apply exponent rule:

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

y^{5} y = y^{5 + 1}

= x^{6} y^{5 + 1}

Add the numbers:

5 + 1 = 6

= x^{6} y^{6}

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Frequently Asked Questions (FAQ)

What is (x^2y^5)(x^4y) ?
The solution to (x^2y^5)(x^4y) is x^6y^6