Solve (x^(a-b) x^(c-b) x^(b-a) x^(c-a))/(x^(a-b) x^(c

Evaluate

(x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a}) \div (x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{c - b} \times x^{2 c - a - b})

Dividing by a^{n} is the same as multiplying by a^{- n}

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- (a - b)} \times x^{- (c - b)} \times x^{- (b - a)} \times x^{- (c - a)} \times x^{- (c - b)} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- (c - b)} \times x^{- (b - a)} \times x^{- (c - a)} \times x^{- (c - b)} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- c + b} \times x^{- (b - a)} \times x^{- (c - a)} \times x^{- (c - b)} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- c + b} \times x^{- b + a} \times x^{- (c - a)} \times x^{- (c - b)} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- c + b} \times x^{- b + a} \times x^{- c + a} \times x^{- (c - b)} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- c + b} \times x^{- b + a} \times x^{- c + a} \times x^{- c + b} \times x^{- (2 c - a - b)}

Calculate

x^{a - b} \times x^{c - b} \times x^{b - a} \times x^{c - a} \times x^{- a + b} \times x^{- c + b} \times x^{- b + a} \times x^{- c + a} \times x^{- c + b} \times x^{- 2 c + a + b}

Multiply the terms with the same base by adding their exponents

x^{a - b + c - b + b - a + c - a - a + b - c + b - b + a - c + a - c + b - 2 c + a + b}

Solution

More Steps

x^{a + 2 b - 3 c}

Simplify the expression