What is (2s^3t^{-2})(1/4 s^7t)(16t^4) ?

The solution to (2s^3t^{-2})(1/4 s^7t)(16t^4) is 8s^{10}t^3

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simplify (2s^3t^{-2})(1/4 s^7t)(16t^4)

simplify

(2 s^{3} t^{- 2}) (\frac{1}{4} s^{7} t) (16 t^{4})

8 s^{10} t^{3}

Solution steps

(2 s^{3} t^{- 2}) (\frac{1}{4} s^{7} t) (16 t^{4})

Simplify

2 s^{3} t^{- 2} : \frac{2 s ^{3}}{t ^{2}}

= \frac{2 s ^{3}}{t ^{2}} \cdot \frac{1}{4} s^{7} t \cdot 16 t^{4}

Simplify

t t^{4} : t^{5}

= \frac{2 s ^{3}}{t ^{2}} \cdot \frac{1}{4} s^{7} t^{5} \cdot 16

= \frac{1}{4} \cdot 16 s^{7} t^{5} \frac{2 s ^{3}}{t ^{2}}

Apply the fraction rule:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 16 s ^{7} t ^{5} \cdot 2 s ^{3}}{4 t ^{2}}

Multiply the numbers:

1 \cdot 16 \cdot 2 = 32

= \frac{32 s ^{7} t ^{5} s ^{3}}{4 t ^{2}}

Factor the number:

32 = 4 \cdot 8

= \frac{4 \cdot 8 s ^{7} t ^{5} s ^{3}}{4 t ^{2}}

Cancel the common factor:

4

= \frac{8 s ^{7} t ^{5} s ^{3}}{t ^{2}}

Simplify

\frac{t ^{5}}{t ^{2}} : t^{3}

= 8 s^{7} t^{3} s^{3}

Simplify

s^{7} s^{3} : s^{10}

= 8 s^{10} t^{3}

8.99 \cdot 1 0^{9} \cdot \frac{1 \cdot 1 0 ^{- 6}}{3.01}

\frac{6}{- 16}

2 x^{2} + 8 x - 9 = 2 (x - 1)

lo g_{4} (\frac{1}{256})

4^{2} - 4

What is (2s^3t^{-2})(1/4 s^7t)(16t^4) ?
The solution to (2s^3t^{-2})(1/4 s^7t)(16t^4) is 8s^{10}t^3