What is sqrt(5)a^5b^{-7}c ?

The solution to sqrt(5)a^5b^{-7}c is (sqrt(5)a^5c)/(b^7)

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simplify sqrt(5)a^5b^{-7}c

simplify

5 a^{5} b^{- 7} c

\frac{5 a ^{5} c}{b ^{7}}

Solution steps

5 a^{5} b^{- 7} c

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

b^{- 7} = \frac{1}{b ^{7}}

= 5 a^{5} \frac{1}{b ^{7}} c

Apply the fraction rule:

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

= \frac{5 a ^{5} \cdot 1 \cdot c}{b ^{7}}

Apply rule:

a \cdot 1 = a

5 a^{5} \cdot 1 \cdot c = 5 a^{5} c

= \frac{5 a ^{5} c}{b ^{7}}

e^{- 2} (\frac{2 s ^{2} - 6 s + 5}{s ^{3} - 6 s ^{2} + 11 s - 6})

(x + 5)^{2} (x - 7)^{2}

t e^{a t} cos (b) t

\frac{- 18}{6}

What is sqrt(5)a^5b^{-7}c ?
The solution to sqrt(5)a^5b^{-7}c is (sqrt(5)a^5c)/(b^7)