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Popular >

simplify (4x^4y)(5x^6y^2)

Solution

simplify

(4 x^{4} y) (5 x^{6} y^{2})

Solution

20 x^{10} y^{3}

Solution steps

(4 x^{4} y) (5 x^{6} y^{2})

Apply exponent rule:

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

x^{4} x^{6} = x^{4 + 6}

= 4 y \cdot 5 x^{4 + 6} y^{2}

Add the numbers:

4 + 6 = 10

= 4 y \cdot 5 x^{10} y^{2}

Apply exponent rule:

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

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

= 4 \cdot 5 x^{10} y^{1 + 2}

Add the numbers:

1 + 2 = 3

= 4 \cdot 5 x^{10} y^{3}

Multiply the numbers:

4 \cdot 5 = 20

= 20 x^{10} y^{3}

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Frequently Asked Questions (FAQ)

What is (4x^4y)(5x^6y^2) ?
The solution to (4x^4y)(5x^6y^2) is 20x^{10}y^3