Simplify $\dfrac{(x^{a})^{b} \cdot (x^{b})^{c} \cdot (x^{c})^{a}}{x^{ab} \cdot x^{bc} \cdot x^{ca}}$.
Simplify $\dfrac{(x^{a})^{b} \cdot (x^{b})^{c} \cdot (x^{c})^{a}}{x^{ab} \cdot x^{bc} \cdot x^{ca}}$.
- $0$
- $1$
- $x^{abc}$
- $x^{a+b+c}$
Solution
Numerator $= x^{ab + bc + ca}$ and denominator $= x^{ab + bc + ca}$, so the ratio is $x^{0} = 1$.
Asked in: IMO
Practice more EXPONENTS AND POWERS questions on Aicharya