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Popular >

simplify (3yz)(6yz^3)

Solution

simplify

(3 yz) (6 y z^{3})

Solution

18 y^{2} z^{4}

Solution steps

(3 yz) (6 y z^{3})

Apply exponent rule:

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

yy = y^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= 3 z \cdot 6 y^{2} z^{3}

Apply exponent rule:

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

z z^{3} = z^{1 + 3}

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

Add the numbers:

1 + 3 = 4

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

Multiply the numbers:

3 \cdot 6 = 18

= 18 y^{2} z^{4}

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Frequently Asked Questions (FAQ)

What is (3yz)(6yz^3) ?
The solution to (3yz)(6yz^3) is 18y^2z^4