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

1 thought on “d. Write the following in exponential form.<br />( 2/5) ^-2 ×( 2/5) ^-2​”

1. Answer:

   [tex] {( \frac{2}{5}) }^{ – 4} \\ [/tex]

   Step-by-step explanation:

   [tex]( \frac{2}{5} ) ^{ – 2} \times {( \frac{2}{5} )}^{ – 2} \\ = {( \frac{2}{5} )}^{ – 2 + ( – 2)} \\ = {( \frac{2}{5} )}^{ – 2 – 2} \\ = {( \frac{2}{5} )}^{ – 4} [/tex]

   it done by the formula :–

   [tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

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

   more formulas to remember :–

   [tex] {x}^{m} \div {x}^{n} = {x}^{m – n} \\ ( {x}^{m} )^{n} = {x}^{m \times n} [/tex]

   hope it helps.

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