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Exponents and Powers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSExponents and Powers1 Mark
MCQ
For any two non-zero rational numbers x and y, $x^4 \div y^4$ is equal to:
  • A
    $(x \div y)^0$
  • B
    $(x \div y)^1$
  • ✓
    $(x \div y)^4$
  • D
    $(x \div y)^8$
✓

Answer

Correct option: C.
$(x \div y)^4$
C.  $(x \div y)^8$
Solution:
Using law of exponents, $\frac{\text{a}^\text{m}}{\text{b}^\text{m}}=\Big(\frac{\text{a}}{\text{b}}\Big)^\text{m}$ [$\because$ a and b are non-zero integers]
Similarly,
$x^4 \div y^4$​​​​​​​
$=\Big(\frac{\text{x}}{\text{y}}\Big)^4$
$=(\text{x}\div\text{y})^4$

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