Question

3

Which of the following correctly simplifies the expression
? (5 po
6
52
25
9
32
125
53
01) ( )* -
O2) )***
O 3) (?:")* = 2:0 =0
O4) (239)
12
- 0
15
Question 5 (5 points)

Answer 1

Option 1 is correct i.e.

`(\frac{2^3\:\textbf{.}\:3^0}{5})^2=(2^6.1^2)/(5^2)=(64)/(25)`

Explanation:

We need to simplify the expression:
`(\frac{2^3\:\textbf{.}\:3^0}{5})^2`

We know that:
`(a^m)^n= a^(m*n)` and
`a^0=1`

We would use these exponent laws to solve our question.

First we will apply
`a^0=1`

`(\frac{2^3\:\textbf{.}\:3^0}{5})^2\\=(\frac{2^3\:\textbf{.}\:1}{5})^2\\`

Now, we will apply
`(a^m)^n= a^(m*n)`

`=\frac{(2^3)^2\:\textbf{.}\:1^2}{5^2}\\=\frac{2^6\:\textbf{.}\:1}{5^2}\\=(64)/(25)`

So, the result is:
`(64)/(25)`

Therefore, Option 1 is correct i.e.

`(\frac{2^3\:\textbf{.}\:3^0}{5})^2=(2^6.1^2)/(5^2)=(64)/(25)`