What is simplify-7/8*a^2*b^5*(c^8)/((-5/2))*a*b^5*c^6 ?

The solution to simplify-7/8*a^2*b^5*(c^8)/((-5/2))*a*b^5*c^6 is (7a^3b^{10}c^{14})/(20)

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simplify-7/8a^2b^5(c^8)/((-5/2))ab^5c^6

simplify

- \frac{7}{8} \cdot a^{2} \cdot b^{5} \cdot \frac{c ^{8}}{( - \frac{5}{2} )} \cdot a \cdot b^{5} \cdot c^{6}

\frac{7 a ^{3} b ^{10} c ^{14}}{20}

Solution steps

- \frac{7}{8} a^{2} b^{5} \frac{c ^{8}}{- \frac{5}{2}} a b^{5} c^{6}

Simplify

a^{2} a : a^{3}

= - \frac{7}{8} a^{3} b^{5} \frac{c ^{8}}{- \frac{5}{2}} b^{5} c^{6}

Simplify

b^{5} b^{5} : b^{10}

= - \frac{7}{8} a^{3} b^{10} \frac{c ^{8}}{- \frac{5}{2}} c^{6}

\frac{c ^{8}}{- \frac{5}{2}} = - \frac{2 c ^{8}}{5}

= - \frac{7}{8} (- \frac{2 c ^{8}}{5}) a^{3} b^{10} c^{6}

Apply rule

- (- a) = a

= \frac{7}{8} a^{3} b^{10} \frac{c ^{8} \cdot 2}{5} c^{6}

Multiply fractions:

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

= \frac{7 c ^{8} \cdot 2 a ^{3} b ^{10} c ^{6}}{8 \cdot 5}

7 c^{8} \cdot 2 a^{3} b^{10} c^{6} = 14 a^{3} b^{10} c^{14}

= \frac{14 a ^{3} b ^{10} c ^{14}}{8 \cdot 5}

Multiply the numbers:

8 \cdot 5 = 40

= \frac{14 a ^{3} b ^{10} c ^{14}}{40}

Cancel the common factor:

2

= \frac{7 a ^{3} b ^{10} c ^{14}}{20}

8 y + y

2 \frac{a}{b ^{- 1}} + 5 \frac{b}{a ^{- 1}}

3 x^{3} - 14 x

2 a^{3} + 10 a^{2} - 28 a

x (\frac{- 2}{3}) (0.4)

What is simplify-7/8*a^2*b^5*(c^8)/((-5/2))*a*b^5*c^6 ?
The solution to simplify-7/8*a^2*b^5*(c^8)/((-5/2))*a*b^5*c^6 is (7a^3b^{10}c^{14})/(20)