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Popular >

simplify (6x^4y^8)(3x^3y)

Solution

simplify

(6 x^{4} y^{8}) (3 x^{3} y)

Solution

18 x^{7} y^{9}

Solution steps

(6 x^{4} y^{8}) (3 x^{3} y)

Apply exponent rule:

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

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

= 6 y^{8} \cdot 3 x^{4 + 3} y

Add the numbers:

4 + 3 = 7

= 6 y^{8} \cdot 3 x^{7} y

Apply exponent rule:

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

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

= 6 \cdot 3 x^{7} y^{8 + 1}

Add the numbers:

8 + 1 = 9

= 6 \cdot 3 x^{7} y^{9}

Multiply the numbers:

6 \cdot 3 = 18

= 18 x^{7} y^{9}

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Frequently Asked Questions (FAQ)

What is (6x^4y^8)(3x^3y) ?
The solution to (6x^4y^8)(3x^3y) is 18x^7y^9