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Popular >

simplify (8x^6y)(4x^3y^2)

Solution

simplify

(8 x^{6} y) (4 x^{3} y^{2})

Solution

32 x^{9} y^{3}

Solution steps

(8 x^{6} y) (4 x^{3} y^{2})

Apply exponent rule:

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

x^{6} x^{3} = x^{6 + 3}

= 8 y \cdot 4 x^{6 + 3} y^{2}

Add the numbers:

6 + 3 = 9

= 8 y \cdot 4 x^{9} y^{2}

Apply exponent rule:

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

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

= 8 \cdot 4 x^{9} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= 8 \cdot 4 x^{9} y^{3}

Multiply the numbers:

8 \cdot 4 = 32

= 32 x^{9} y^{3}

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Frequently Asked Questions (FAQ)

What is (8x^6y)(4x^3y^2) ?
The solution to (8x^6y)(4x^3y^2) is 32x^9y^3