Question

which expressions are equivalent to 2^5 over 6^5pick two a) 1/3b) 3^-5c) (-4)^5d) 2^5 * 6^-5

Answer 1

$\frac{2^5}{6^5}$$\frac{2\times2\times2\times2\times2}{6\times6\times6\times6\times6}\text{ =}\frac{1}{3\times3\times3\times3\times3}=\text{ }\frac{1}{3^5}$$\frac{1}{3^5}=3^{-5}$

So the correct answer is the option (b).

$\frac{2^5}{6^5}=2^5\times6^{-5}$

so the option (d) is also correct.