d. Write the following in exponential form.

( 2/5) ^-2 ×( 2/5) ^-2

# d. Write the following in exponential form.

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

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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]

itdonebytheformula:–[tex] {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]Wherebasesaresameandwehavetomultiplythem,wewilladdthepowers.moreformulastoremember:–[tex] {x}^{m} \div {x}^{n} = {x}^{m – n} \\ ( {x}^{m} )^{n} = {x}^{m \times n} [/tex]hopeithelps.