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Popular >

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

Solution

simplify

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

Solution

6 x^{5} y^{9}

Solution steps

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

Apply exponent rule:

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

x^{2} x^{3} = x^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

y^{5} y^{4} = y^{5 + 4}

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

Add the numbers:

5 + 4 = 9

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

Multiply the numbers:

3 \cdot 2 = 6

= 6 x^{5} y^{9}

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Frequently Asked Questions (FAQ)

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