For any two non-zero rational numbers a, a^7 ^ 12 is equal to: - Vidyadip

MCQ

For any two non$-$zero rational numbers $a, \text{a}^7\div\text{a}^{12}$ is equal to:

A
$\text{a}^5$
B
$\text{a}^{-19}$
✓
$\text{a}^{-5}$
D
$\text{a}^{19}$

✓

Answer

Correct option: C.

$\text{a}^{-5}$

$\text{a}^\text{m}\div\text{a}^\text{n}=\text{a}^{\text{m}-\text{n}}$
Hence,
$\text{a}^\text{7}\div\text{b}^{12}$
$=\text{a}^{7-12}$
$=\text{a}^{-5}$

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