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Popular >

simplify (5xy^2)(4x^8y^5)

Solution

simplify

(5 x y^{2}) (4 x^{8} y^{5})

Solution

20 x^{9} y^{7}

Solution steps

(5 x y^{2}) (4 x^{8} y^{5})

Apply exponent rule:

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

x x^{8} = x^{1 + 8}

= 5 y^{2} \cdot 4 x^{1 + 8} y^{5}

Add the numbers:

1 + 8 = 9

= 5 y^{2} \cdot 4 x^{9} y^{5}

Apply exponent rule:

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

y^{2} y^{5} = y^{2 + 5}

= 5 \cdot 4 x^{9} y^{2 + 5}

Add the numbers:

2 + 5 = 7

= 5 \cdot 4 x^{9} y^{7}

Multiply the numbers:

5 \cdot 4 = 20

= 20 x^{9} y^{7}

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Frequently Asked Questions (FAQ)

What is (5xy^2)(4x^8y^5) ?
The solution to (5xy^2)(4x^8y^5) is 20x^9y^7