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Popular >

simplify (3x^2y)(5x^5y^6)

Solution

simplify

(3 x^{2} y) (5 x^{5} y^{6})

Solution

15 x^{7} y^{7}

Solution steps

(3 x^{2} y) (5 x^{5} y^{6})

Apply exponent rule:

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

x^{2} x^{5} = x^{2 + 5}

= 3 y \cdot 5 x^{2 + 5} y^{6}

Add the numbers:

2 + 5 = 7

= 3 y \cdot 5 x^{7} y^{6}

Apply exponent rule:

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

y y^{6} = y^{1 + 6}

= 3 \cdot 5 x^{7} y^{1 + 6}

Add the numbers:

1 + 6 = 7

= 3 \cdot 5 x^{7} y^{7}

Multiply the numbers:

3 \cdot 5 = 15

= 15 x^{7} y^{7}

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Frequently Asked Questions (FAQ)

What is (3x^2y)(5x^5y^6) ?
The solution to (3x^2y)(5x^5y^6) is 15x^7y^7