Question

(3/5)^2+4X3-2 what is the value of the expression

Answer 1

10.36

Explanation:

So your solution would be:

`((3)/(5))^(2) + 4 * 3 - 2`

`=((3)/(5))^(2) + 4 * 3 - 2`

`=(3^(2))/(5^(2)) + 4 * 3 - 2`

`=(9)/(25) + 4 * 3 - 2`

`=0.36 + 4 * 3 - 2`

`=0.36 + 12 - 2`

`=12.36 - 2`

`=10.36`

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

`=((3)/(5))^(2) + 4 * 3 - 2\\`

`=(3^(2))/(5^(2)) + 4 * 3 - 2`

`=(9)/(25) + 4 * 3 - 2`

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

`=0.36 + 4 * 3 - 2`

`=0.36 + 12 - 2`

Next we do the addition/subtraction. Again, whichever comes first.

`=12.36 - 2`

`=10.36`