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Popular >

simplify (2xy)*(5x^8y^3)

Solution

simplify

(2 x y) \cdot (5 x^{8} y^{3})

Solution

10 x^{9} y^{4}

Solution steps

(2 x y) (5 x^{8} y^{3})

Apply exponent rule:

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

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

= 2 y \cdot 5 x^{1 + 8} y^{3}

Add the numbers:

1 + 8 = 9

= 2 y \cdot 5 x^{9} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 2 \cdot 5 x^{9} y^{1 + 3}

Add the numbers:

1 + 3 = 4

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

Multiply the numbers:

2 \cdot 5 = 10

= 10 x^{9} y^{4}

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Frequently Asked Questions (FAQ)

What is (2xy)*(5x^8y^3) ?
The solution to (2xy)*(5x^8y^3) is 10x^9y^4