What is (7w^9z^3)(4w^4z^6) ?

The solution to (7w^9z^3)(4w^4z^6) is 28w^{13}z^9

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simplify (7w^9z^3)(4w^4z^6)

simplify

(7 w^{9} z^{3}) (4 w^{4} z^{6})

28 w^{13} z^{9}

Solution steps

(7 w^{9} z^{3}) (4 w^{4} z^{6})

Apply exponent rule:

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

w^{9} w^{4} = w^{9 + 4}

= 7 z^{3} \cdot 4 w^{9 + 4} z^{6}

Add the numbers:

9 + 4 = 13

= 7 z^{3} \cdot 4 w^{13} z^{6}

Apply exponent rule:

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

z^{3} z^{6} = z^{3 + 6}

= 7 \cdot 4 w^{13} z^{3 + 6}

Add the numbers:

3 + 6 = 9

= 7 \cdot 4 w^{13} z^{9}

Multiply the numbers:

7 \cdot 4 = 28

= 28 w^{13} z^{9}

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