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Popular >

simplify (6ax^2y)(3a^5xy)

Solution

simplify

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

Solution

18 a^{6} x^{3} y^{2}

Solution steps

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

Apply exponent rule:

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

a a^{5} = a^{1 + 5}

= 6 x^{2} y \cdot 3 a^{1 + 5} x y

Add the numbers:

1 + 5 = 6

= 6 x^{2} y \cdot 3 a^{6} x y

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 6 y \cdot 3 a^{6} x^{2 + 1} y

Add the numbers:

2 + 1 = 3

= 6 y \cdot 3 a^{6} x^{3} y

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= 6 \cdot 3 a^{6} x^{3} y^{2}

Multiply the numbers:

6 \cdot 3 = 18

= 18 a^{6} x^{3} y^{2}

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Frequently Asked Questions (FAQ)

What is (6ax^2y)(3a^5xy) ?
The solution to (6ax^2y)(3a^5xy) is 18a^6x^3y^2