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Popular >

simplify (6yz^2)(4y^2z)

Solution

simplify

(6 y z^{2}) (4 y^{2} z)

Solution

24 y^{3} z^{3}

Solution steps

(6 y z^{2}) (4 y^{2} z)

Apply exponent rule:

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

y y^{2} = y^{1 + 2}

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

z^{2} z = z^{2 + 1}

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

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

6 \cdot 4 = 24

= 24 y^{3} z^{3}

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Frequently Asked Questions (FAQ)

What is (6yz^2)(4y^2z) ?
The solution to (6yz^2)(4y^2z) is 24y^3z^3