Question

Need help overdue
What is (2/5) ^ 5

Answer 1

You could put it in a calculator, or work it out “by hand” 2/5 raised to the 5th power is the same as multiplying 2/5 by 2/5 5 times.

So, you would have 2*2*2*2*2 / 5*5*5*5*5
Which is equal to 32/3125 or 0.01024

Answer 2

`\left((2)/(5)\right)^5 = (32)/(3125) = 0.01024`

Explanation:

To find the value of:

`\left((2)/(5)\right)^5`

Solution:

We can calculate this value by multiplying
`(2)/(5)` by itself 5 times:

`\begin{aligned} \left((2)/(5)\right)^5 &= (2)/(5) * (2)/(5) * (2)/(5) * (2)/(5) * (2)/(5) \\\\ & = (4)/(25) * (2)/(5) * (2)/(5) * (2)/(5) \\\\ & = (8)/(125) * (2)/(5) * (2)/(5) \\\\ & = (16)/(625) * (2)/(5) \\\\ & = (32)/(3125) \end{aligned}`

We can also use a calculator to find the value . Simply enter the fraction
`(2)/(5)` into the calculator and press the exponent button (^) 5 times.

Calculator:

`\left((2)/(5)\right)^5 = 0.01024`

Therefore, the value of:

`\left((2)/(5)\right)^5 = (32)/(3125) = 0.01024`