Question

d. Write the following in exponential form.
( 2/5) ^-2 ×( 2/5) ^-2​

Answer 1

Answer:

${( \frac{2}{5}) }^{ - 4}$

Step-by-step explanation:

$( \frac{2}{5} ) ^{ - 2} \times {( \frac{2}{5} )}^{ - 2} \\ = {( \frac{2}{5} )}^{ - 2 + ( - 2)} \\ = {( \frac{2}{5} )}^{ - 2 - 2} \\ = {( \frac{2}{5} )}^{ - 4}$

it done by the formula :-

${x}^{m} \times {x}^{n} = {x}^{m + n}$

Where bases are same and we have to multiply them, we will add the powers.

more formulas to remember :-

${x}^{m} \div {x}^{n} = {x}^{m - n} \\ ( {x}^{m} )^{n} = {x}^{m \times n}$

hope it helps.