Solve a b c/a^-1b^-1 b^-1c^-1 c^-1a^-1

Evaluate

ab \times \frac{c}{a ^{- 1}} \times b^{- 1} \times b^{- 1} c^{- 1} \times c^{- 1} a^{- 1}

Rewrite the expression

More Steps

ab c a b^{- 1} \times b^{- 1} c^{- 1} \times c^{- 1} a^{- 1}

Multiply the terms with the same base by adding their exponents

a^{1 - 1} b c a b^{- 1} \times b^{- 1} c^{- 1} \times c^{- 1}

Subtract the numbers

a^{0} b c a b^{- 1} \times b^{- 1} c^{- 1} \times c^{- 1}

Any non-zero expression raised to the power of 0 equals 1

b c a b^{- 1} \times b^{- 1} c^{- 1} \times c^{- 1}

Multiply the terms with the same base by adding their exponents

b^{1 - 1 - 1} c a c^{- 1} \times c^{- 1}

Subtract the numbers

b^{- 1} c a c^{- 1} \times c^{- 1}

Multiply the terms with the same base by adding their exponents

b^{- 1} c^{1 - 1 - 1} a

Subtract the numbers

b^{- 1} c^{- 1} a

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

\frac{1}{b} \times c^{- 1} a

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

\frac{1}{b} \times \frac{1}{c} \times a

Solution

\frac{a}{b c}

Simplify the expression