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Popular >

simplify 5w^3z(2w^2z^3)

Solution

simplify

5 w^{3} z (2 w^{2} z^{3})

Solution

10 w^{5} z^{4}

Solution steps

5 w^{3} z (2 w^{2} z^{3})

Apply exponent rule:

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

w^{3} w^{2} = w^{3 + 2}

= 5 z \cdot 2 w^{3 + 2} z^{3}

Add the numbers:

3 + 2 = 5

= 5 z \cdot 2 w^{5} z^{3}

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= 5 \cdot 2 w^{5} z^{4}

Multiply the numbers:

5 \cdot 2 = 10

= 10 w^{5} z^{4}

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Frequently Asked Questions (FAQ)

What is 5w^3z(2w^2z^3) ?
The solution to 5w^3z(2w^2z^3) is 10w^5z^4