Solve 14a^4b^6c^-10/8a^-2b^3c^-5

Evaluate

14 a^{4} b^{6} \times \frac{c ^{- 10}}{8} a^{- 2} b^{3} c^{- 5}

Rewrite the expression

More Steps

14 a^{4} b^{6} \times \frac{1}{8 c ^{10}} \times a^{- 2} b^{3} c^{- 5}

Multiply the terms with the same base by adding their exponents

14 a^{4 - 2} b^{6} \times \frac{1}{8 c ^{10}} \times b^{3} c^{- 5}

Subtract the numbers

14 a^{2} b^{6} \times \frac{1}{8 c ^{10}} \times b^{3} c^{- 5}

Multiply the terms with the same base by adding their exponents

14 a^{2} b^{6 + 3} \times \frac{1}{8 c ^{10}} \times c^{- 5}

Add the numbers

14 a^{2} b^{9} \times \frac{1}{8 c ^{10}} \times c^{- 5}

Multiply the terms

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\frac{7 a ^{2} b ^{9}}{4 c ^{10}} \times c^{- 5}

Express with a positive exponent using a^{- n} = \frac{1}{a ^{n}}

\frac{7 a ^{2} b ^{9}}{4 c ^{10}} \times \frac{1}{c ^{5}}

Multiply the terms

\frac{7 a ^{2} b ^{9}}{4 c ^{10} \times c ^{5}}

Solution

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\frac{7 a ^{2} b ^{9}}{4 c ^{15}}

Simplify the expression