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

Evaluate

(x^{a} \div x^{b})^{x} b (x^{b} \div x^{c})^{b} c (x^{c} \div x^{a})^{c} a

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

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

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

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

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

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

Multiply the terms with the same base by adding their exponents

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

Multiply the terms with the same base by adding their exponents

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

Multiply the terms with the same base by adding their exponents

(x^{a - b})^{x} b (x^{b - c})^{b} c (x^{c - a})^{c} a

Evaluate the power

More Steps

x^{x (a - b)} b (x^{b - c})^{b} c (x^{c - a})^{c} a

Evaluate the power

More Steps

x^{x (a - b)} b x^{b (b - c)} c (x^{c - a})^{c} a

Evaluate the power

More Steps

x^{x (a - b)} b x^{b (b - c)} c x^{c (c - a)} a

Multiply the terms with the same base by adding their exponents

x^{x (a - b) + b (b - c) + c (c - a)} b c a

Add the terms

More Steps

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

Solution

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

Simplify the expression