What is (6r^9(-2)^6s^2)/(3r^3(-2)^2s) ?

The solution to (6r^9(-2)^6s^2)/(3r^3(-2)^2s) is 32r^6s

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simplify (6r^9(-2)^6s^2)/(3r^3(-2)^2s)

simplify

\frac{6 r ^{9} ( - 2 ) ^{6} s ^{2}}{3 r ^{3} ( - 2 ) ^{2} s}

32 r^{6} s

Solution steps

\frac{6 r ^{9} ( - 2 ) ^{6} s ^{2}}{3 r ^{3} ( - 2 ) ^{2} s}

Simplify

3 r^{3} (- 2)^{2} s : 12 r^{3} s

= \frac{6 r ^{9} ( - 2 ) ^{6} s ^{2}}{12 r ^{3} s}

Factor the number:

12 = 6 \cdot 2

= \frac{6 r ^{9} ( - 2 ) ^{6} s ^{2}}{6 \cdot 2 r ^{3} s}

Cancel the common factor:

6

= \frac{r ^{9} ( - 2 ) ^{6} s ^{2}}{2 r ^{3} s}

Simplify

\frac{r ^{9}}{r ^{3}} : r^{6}

= \frac{r ^{6} ( - 2 ) ^{6} s ^{2}}{2 s}

Simplify

\frac{s ^{2}}{s} : s

= \frac{r ^{6} ( - 2 ) ^{6} s}{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{6} = 2^{6}

= \frac{r ^{6} \cdot 2 ^{6} s}{2}

\frac{2 ^{6}}{2} = 2^{5}

= r^{6} \cdot 2^{5} s

2^{5} = 32

= 32 r^{6} s

lo g_{2} (150)

\frac{9 x ^{7} y ^{5}}{3 x ^{3} y}

8 \cdot 27

8 \cdot 17

5^{10} \cdot 5^{5}

What is (6r^9(-2)^6s^2)/(3r^3(-2)^2s) ?
The solution to (6r^9(-2)^6s^2)/(3r^3(-2)^2s) is 32r^6s