Question

What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction?

Answer 1

Answer:

The quotient value is "7"

Step-by-step explanation:

Given value: $\bold {\frac {7^{-1}}{ 7^{-2}}}$

Solution:

$\therefore a^{-1} = \frac{1}{a}$

$\Rightarrow \frac{7^{-1}}{7^{-2}} \\\\ \Rightarrow \frac{\frac{1}{7}}{\frac{1}{7^2}}}\\\\ \Rightarrow \frac{7^2}{7}\\\\\Rightarrow \frac{7 \times 7 }{7}\\\\\Rightarrow \frac{7}{1} \\\\\bold {\ Answer \Rightarrow \ 7}$