Question

evaluate (2/5)^10 ÷ (2/5)^5.​

Answer 1

$\huge\red{Answer}$

${( \frac{2}{5} )}^{10} \div {( \frac{2}{5} )}^{5} \\ \frac{ {( \frac{2}{5} )}^{10} }{ {( \frac{2}{5} )}^{5} \: \: } \: \: \\ = {( \frac{2}{5} )}^{(10 - 5)} \\ = {( \frac{2}{5} )}^{5} \: \: \: \: \: \: \: \: \\ = \frac{32}{3125} \: \:$

Note: When you have to perform the division of numbers with same bases..as in this case.. you will write the base as it is and then subtract the powers.

$\pink{Follow}$ $\pink{Me}$ ❤