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Popular >

simplify (xy)(8x^2)(2xy)

Solution

simplify

(x y) (8 x^{2}) (2 x y)

Solution

16 x^{4} y^{2}

Solution steps

(x y) (8 x^{2}) (2 x y)

Apply exponent rule:

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

x x^{2} x = x^{1 + 2 + 1}

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

Add the numbers:

1 + 2 + 1 = 4

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

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

8 \cdot 2 = 16

= 16 x^{4} y^{2}

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Frequently Asked Questions (FAQ)

What is (xy)(8x^2)(2xy) ?
The solution to (xy)(8x^2)(2xy) is 16x^4y^2