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Popular >

simplify (3x^2y^4)(2x^7y^5)

Solution

simplify

(3 x^{2} y^{4}) (2 x^{7} y^{5})

Solution

6 x^{9} y^{9}

Solution steps

(3 x^{2} y^{4}) (2 x^{7} y^{5})

Apply exponent rule:

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

x^{2} x^{7} = x^{2 + 7}

= 3 y^{4} \cdot 2 x^{2 + 7} y^{5}

Add the numbers:

2 + 7 = 9

= 3 y^{4} \cdot 2 x^{9} y^{5}

Apply exponent rule:

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

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

= 3 \cdot 2 x^{9} y^{4 + 5}

Add the numbers:

4 + 5 = 9

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

Multiply the numbers:

3 \cdot 2 = 6

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

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Frequently Asked Questions (FAQ)

What is (3x^2y^4)(2x^7y^5) ?
The solution to (3x^2y^4)(2x^7y^5) is 6x^9y^9