Question

3/5 to the third power

Answer 1

Hello..! :)

`\begin{gathered} \\ {\large{\textsf{\textbf{\underline{\underline{ Given \: :}}}}}} \\ \end{gathered}`

To solve this problem we take into account that it is a power, so we must multiply 3 times 3 and also 3 times 5. In this case we have a ³ so this is what we are going to multiply it by 3 times:

We start to solve:

`\begin{gathered} \\ \qquad \implies\boldsymbol{\underline {\boxed {\frak ({ (3 )/( \: \:5\: \: )) ³}}}} \\ \end{gathered}`

`\begin{gathered} \\ \qquad \implies{\underline {\boxed {\frak { (3 * 3 * 3)/( \: \:5 * 5 * 5 \: \: ) }}}} \\ \end{gathered}`

`\begin{gathered} \\ \qquad \implies{\underline {\boxed {\frak { (27)/( \: \: 125\: \: ) }}}} \\ \end{gathered}`

So, the result is 27/125 since we have multiplied both the numerator and the denominator by 3 times since that required the power.

¿Doubts? On the comments. Greetings :D

Answer 2

3/5 to the power of 3, or cubed, is written as if (3/5)³.The power indicates how many times that same number is multiplied by itself, then

`\boldsymbol{\sf{\left((3)/(5)\right)^(3)=(3*3*3)/(5*5*5)=\cfrac{27}{125} }}`