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Popular >

simplify (2xy^7)(4xy^2)

Solution

simplify

(2 x y^{7}) (4 x y^{2})

Solution

8 x^{2} y^{9}

Solution steps

(2 x y^{7}) (4 x y^{2})

Apply exponent rule:

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

xx = x^{1 + 1}

= 2 y^{7} \cdot 4 x^{1 + 1} y^{2}

Add the numbers:

1 + 1 = 2

= 2 y^{7} \cdot 4 x^{2} y^{2}

Apply exponent rule:

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

y^{7} y^{2} = y^{7 + 2}

= 2 \cdot 4 x^{2} y^{7 + 2}

Add the numbers:

7 + 2 = 9

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

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{2} y^{9}

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Frequently Asked Questions (FAQ)

What is (2xy^7)(4xy^2) ?
The solution to (2xy^7)(4xy^2) is 8x^2y^9