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Popular >

simplify (2x^3y)*(5xy^7)

Solution

simplify

(2 x^{3} y) \cdot (5 x y^{7})

Solution

10 x^{4} y^{8}

Solution steps

(2 x^{3} y) (5 x y^{7})

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= 2 y \cdot 5 x^{3 + 1} y^{7}

Add the numbers:

3 + 1 = 4

= 2 y \cdot 5 x^{4} y^{7}

Apply exponent rule:

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

y y^{7} = y^{1 + 7}

= 2 \cdot 5 x^{4} y^{1 + 7}

Add the numbers:

1 + 7 = 8

= 2 \cdot 5 x^{4} y^{8}

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{4} y^{8}

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Frequently Asked Questions (FAQ)

What is (2x^3y)*(5xy^7) ?
The solution to (2x^3y)*(5xy^7) is 10x^4y^8