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Popular >

simplify (8a^2z)(21a^3z^4)

Solution

simplify

(8 a^{2} z) (21 a^{3} z^{4})

Solution

168 a^{5} z^{5}

Solution steps

(8 a^{2} z) (21 a^{3} z^{4})

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= 8 z \cdot 21 a^{2 + 3} z^{4}

Add the numbers:

2 + 3 = 5

= 8 z \cdot 21 a^{5} z^{4}

Apply exponent rule:

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

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

= 8 \cdot 21 a^{5} z^{1 + 4}

Add the numbers:

1 + 4 = 5

= 8 \cdot 21 a^{5} z^{5}

Multiply the numbers:

8 \cdot 21 = 168

= 168 a^{5} z^{5}

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Frequently Asked Questions (FAQ)

What is (8a^2z)(21a^3z^4) ?
The solution to (8a^2z)(21a^3z^4) is 168a^5z^5