What is (3w^2z^7)(9w^2z^4) ?

The solution to (3w^2z^7)(9w^2z^4) is 27w^4z^{11}

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simplify (3w^2z^7)(9w^2z^4)

simplify

(3 w^{2} z^{7}) (9 w^{2} z^{4})

27 w^{4} z^{11}

Solution steps

(3 w^{2} z^{7}) (9 w^{2} z^{4})

Apply exponent rule:

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

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

= 3 z^{7} \cdot 9 w^{2 + 2} z^{4}

Add the numbers:

2 + 2 = 4

= 3 z^{7} \cdot 9 w^{4} z^{4}

Apply exponent rule:

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

z^{7} z^{4} = z^{7 + 4}

= 3 \cdot 9 w^{4} z^{7 + 4}

Add the numbers:

7 + 4 = 11

= 3 \cdot 9 w^{4} z^{11}

Multiply the numbers:

3 \cdot 9 = 27

= 27 w^{4} z^{11}

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