$$\left ( \frac{7}{15} \right )^{-2} =\left ( \frac{15}{7} \right )^{2}$$

If $$\left \{ \left ( 2 \right )^{3m \:-\: 1} + 10\right \}\div 7 = 6$$, then $$m$$ is 2.

The value of $$m$$ for which $$\left ( \frac{6}{13} \right )^{-4} \times \left ( \frac{6}{13} \right )^{3m} =\left ( \frac{6}{13} \right )^{5}$$ is $$-3$$.

The value of $$\left ( 2 \right )^{55} \times \left ( 2 \right )^{60} - \left ( 2\right )^{97}\times \left ( 2 \right )^{18}$$ is $$0$$.

$$\left (x \right )^{n} \times \left (y \right )^{n}=\left (\frac{x}{y} \right )^{n}$$

$$\left (x \right )^{n} + \left (y \right )^{n} =\left (xy \right )^{n}$$

$$\left ( 2 \right )^{-5} \div \left ( 2 \right )^{3} = \left ( 2 \right )^{-8}$$

$$10^{-2} =\frac{1}{10^{2}}$$

By what number should $$\left ( \frac{-1}{2} \right )^{2}$$ be multiplied to get the product as –12?

What is the value of (2)^–5 × (3)²?

Which of the following is equal to $$\left \{ \left ( \frac{-2}{3} \right )^{-3} \right \}^{2}$$?

What is the value of $$\left (\frac{-2}{7} \right )^{-6} \div \left (\frac{-2}{7} \right )^{3}$$?

What is the value of $$\left \{\left (4 \right )^{-1} - \left (2 \right )^{-1} \right \} \times \left (3 \right )^{-1}$$?

What is the value of $$\left (6 \right )^{-7} \div \left (6 \right )^{-3}$$?