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Popular >

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

Solution

simplify

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

Solution

21 x^{3} y^{5}

Solution steps

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

Apply exponent rule:

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

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

= 7 y^{4} \cdot 3 x^{1 + 2} y

Add the numbers:

1 + 2 = 3

= 7 y^{4} \cdot 3 x^{3} y

Apply exponent rule:

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

y^{4} y = y^{4 + 1}

= 7 \cdot 3 x^{3} y^{4 + 1}

Add the numbers:

4 + 1 = 5

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

Multiply the numbers:

7 \cdot 3 = 21

= 21 x^{3} y^{5}

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Frequently Asked Questions (FAQ)

What is (7xy^4)(3x^2y) ?
The solution to (7xy^4)(3x^2y) is 21x^3y^5