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Popular >

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

Solution

simplify

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

Solution

32 x^{9} y^{7}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

6 + 3 = 9

= 4 y^{6} \cdot 8 x^{9} y

Apply exponent rule:

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

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

= 4 \cdot 8 x^{9} y^{6 + 1}

Add the numbers:

6 + 1 = 7

= 4 \cdot 8 x^{9} y^{7}

Multiply the numbers:

4 \cdot 8 = 32

= 32 x^{9} y^{7}

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Frequently Asked Questions (FAQ)

What is (4x^6y^6)(8x^3y) ?
The solution to (4x^6y^6)(8x^3y) is 32x^9y^7