MCQ
For any two non-zero rational numbers $x$ and $y, x^5 ÷ y^5$ is equal to:
  • A
    $(x ÷ y)^1$
  • B
    $(x ÷ y)^0$
  • $(x ÷ y)^5$
  • D
    $(x ÷ y)^{10}$

Answer

Correct option: C.
$(x ÷ y)^5$

Given, $\text{5}^{5}\div\text{y}^{5}=\frac{\text{x}^{5}}{\text{y}^{5}}$
As we know, $\frac{\text{p}^{\text{n}}}{\text{q}^{\text{n}}}=\big(\frac{\text{p}}{\text{q}}\big)^\text{n}$
Thus, $\frac{\text{x}^{5}}{\text{y}^{5}}=\big(\frac{\text{x}^{5}}{\text{y}^{5}}\big)^{5}=(\text{x}+\text{y})^{5}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free