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Popular >

simplify (3y^3z)(4y^4z^2)

Solution

simplify

(3 y^{3} z) (4 y^{4} z^{2})

Solution

12 y^{7} z^{3}

Solution steps

(3 y^{3} z) (4 y^{4} z^{2})

Apply exponent rule:

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

y^{3} y^{4} = y^{3 + 4}

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

Add the numbers:

3 + 4 = 7

= 3 z \cdot 4 y^{7} z^{2}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

3 \cdot 4 = 12

= 12 y^{7} z^{3}

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Frequently Asked Questions (FAQ)

What is (3y^3z)(4y^4z^2) ?
The solution to (3y^3z)(4y^4z^2) is 12y^7z^3