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Popular >

simplify (2x^4y)(3x^5y^8)

Solution

simplify

(2 x^{4} y) (3 x^{5} y^{8})

Solution

6 x^{9} y^{9}

Solution steps

(2 x^{4} y) (3 x^{5} y^{8})

Apply exponent rule:

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

x^{4} x^{5} = x^{4 + 5}

= 2 y \cdot 3 x^{4 + 5} y^{8}

Add the numbers:

4 + 5 = 9

= 2 y \cdot 3 x^{9} y^{8}

Apply exponent rule:

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

y y^{8} = y^{1 + 8}

= 2 \cdot 3 x^{9} y^{1 + 8}

Add the numbers:

1 + 8 = 9

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

Multiply the numbers:

2 \cdot 3 = 6

= 6 x^{9} y^{9}

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Frequently Asked Questions (FAQ)

What is (2x^4y)(3x^5y^8) ?
The solution to (2x^4y)(3x^5y^8) is 6x^9y^9