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Popular >

simplify (x^8y)*(x^4y^8)

Solution

simplify

(x^{8} y) \cdot (x^{4} y^{8})

Solution

x^{12} y^{9}

Solution steps

(x^{8} y) (x^{4} y^{8})

Apply exponent rule:

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

x^{8} x^{4} = x^{8 + 4}

= y x^{8 + 4} y^{8}

Add the numbers:

8 + 4 = 12

= y x^{12} y^{8}

Apply exponent rule:

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

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

= x^{12} y^{1 + 8}

Add the numbers:

1 + 8 = 9

= x^{12} y^{9}

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Frequently Asked Questions (FAQ)

What is (x^8y)*(x^4y^8) ?
The solution to (x^8y)*(x^4y^8) is x^{12}y^9