Question

{4/5}-³ express it with a positive exponent​

Answer 1

(4/5)³ is the answer.!!

Answer 2

Given question :

Express $\bf \displaystyle \bf \bigg \{ \frac{4}{5} {\bigg \}}^{ - 3}$ with a positive exponent.

Solution :

Given number/fraction :

$\implies \bf \displaystyle \bf \bigg \{ \frac{4}{5} {\bigg \}}^{ - 3}$

Now, we know that, exponent law :

$\dashrightarrow \displaystyle \sf {a}^{ - m} = \frac{1}{ {a}^{m} }$

★ Meaning :

• When a exponential value of it's exponent in negative it becomes the reciprocal of that number and the exponent becomes automatically positive.
• For example :

The number is :

$\implies \sf {4}^{ - 2}$

Now, using the identity :

$\dashrightarrow \displaystyle \sf {a}^{ - m} = \frac{1}{ {a}^{m} }$

We get :

$\implies \sf \dfrac{1}{ {4}^{2} }$

★ Let's solve the question in similar manner!!

$\implies\bf \displaystyle \bf \bigg \{ \frac{4}{5} {\bigg \}}^{ - 3}$

Using the indentity :

$\implies\bf \displaystyle \bf \bigg \{ \frac{5}{4} {\bigg \}}^{ 3}$

Hence, expressed as a positive exponent..!!