MCQ
$\frac{5^7}{6^7}$ will give the value:
- ✓$\big(\frac{5}{6}\big)^7$
- B$\big(\frac{5}{6}\big)^0$
- C$\big(\frac{5}{6}\big)^{-7}$
- D$\big(\frac{6}{5}\big)^{-7}$
✓
Answer
Correct option: A.
$\big(\frac{5}{6}\big)^7$
By exponent law:
$\frac{\text{a}^\text{m}}{\text{b}^\text{m}} = \big(\frac{\text{a}}{\text{b}}\big)^\text{m}$
$\frac{\text{5}^\text{7}}{\text{6}^\text{7}} = \big(\frac{\text{5}}{\text{6}}\big)^\text{7}$
$\frac{\text{a}^\text{m}}{\text{b}^\text{m}} = \big(\frac{\text{a}}{\text{b}}\big)^\text{m}$
$\frac{\text{5}^\text{7}}{\text{6}^\text{7}} = \big(\frac{\text{5}}{\text{6}}\big)^\text{7}$
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Range of Marks Obtained
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$10$
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$300–350$
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$12$
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$14$
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$13$
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