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Popular >

simplify (6xyz^4)(5xy^3)

Solution

simplify

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

Solution

30 x^{2} y^{4} z^{4}

Solution steps

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

Apply exponent rule:

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

xx = x^{1 + 1}

= 6 y z^{4} \cdot 5 x^{1 + 1} y^{3}

Add the numbers:

1 + 1 = 2

= 6 y z^{4} \cdot 5 x^{2} y^{3}

Apply exponent rule:

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

y y^{3} = y^{1 + 3}

= 6 z^{4} \cdot 5 x^{2} y^{1 + 3}

Add the numbers:

1 + 3 = 4

= 6 z^{4} \cdot 5 x^{2} y^{4}

Multiply the numbers:

6 \cdot 5 = 30

= 30 x^{2} y^{4} z^{4}

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Frequently Asked Questions (FAQ)

What is (6xyz^4)(5xy^3) ?
The solution to (6xyz^4)(5xy^3) is 30x^2y^4z^4