What is (6s^5z^6)(2s^3z^4) ?

The solution to (6s^5z^6)(2s^3z^4) is 12s^8z^{10}

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simplify (6s^5z^6)(2s^3z^4)

simplify

(6 s^{5} z^{6}) (2 s^{3} z^{4})

12 s^{8} z^{10}

Solution steps

(6 s^{5} z^{6}) (2 s^{3} z^{4})

Apply exponent rule:

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

s^{5} s^{3} = s^{5 + 3}

= 6 z^{6} \cdot 2 s^{5 + 3} z^{4}

Add the numbers:

5 + 3 = 8

= 6 z^{6} \cdot 2 s^{8} z^{4}

Apply exponent rule:

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

z^{6} z^{4} = z^{6 + 4}

= 6 \cdot 2 s^{8} z^{6 + 4}

Add the numbers:

6 + 4 = 10

= 6 \cdot 2 s^{8} z^{10}

Multiply the numbers:

6 \cdot 2 = 12

= 12 s^{8} z^{10}

e^{- a t} \cdot sin (wt)

f^{- 1} (- 1)

a^{2 n}

\frac{- 72}{2}