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Popular >

simplify (x^3y)(5xy^4z)

Solution

simplify

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

Solution

5 x^{4} y^{5} z

Solution steps

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

Apply exponent rule:

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

x^{3} x = x^{3 + 1}

= y \cdot 5 x^{3 + 1} y^{4} z

Add the numbers:

3 + 1 = 4

= y \cdot 5 x^{4} y^{4} z

Apply exponent rule:

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

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

= 5 x^{4} y^{1 + 4} z

Add the numbers:

1 + 4 = 5

= 5 x^{4} y^{5} z

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Frequently Asked Questions (FAQ)

What is (x^3y)(5xy^4z) ?
The solution to (x^3y)(5xy^4z) is 5x^4y^5z