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Popular >

simplify (16z^4y^2)(3zy)

Solution

simplify

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

Solution

48 z^{5} y^{3}

Solution steps

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

Apply exponent rule:

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

z^{4} z = z^{4 + 1}

= 16 y^{2} \cdot 3 z^{4 + 1} y

Add the numbers:

4 + 1 = 5

= 16 y^{2} \cdot 3 z^{5} y

Apply exponent rule:

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

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

= 16 \cdot 3 z^{5} y^{2 + 1}

Add the numbers:

2 + 1 = 3

= 16 \cdot 3 z^{5} y^{3}

Multiply the numbers:

16 \cdot 3 = 48

= 48 z^{5} y^{3}

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Frequently Asked Questions (FAQ)

What is (16z^4y^2)(3zy) ?
The solution to (16z^4y^2)(3zy) is 48z^5y^3