help i dont know how to do this math problem it says to solve for  `2x^0+x!` and  `x=4` help i dont know what the ! means and i dont know how to so;ve this probem.

sciftw | High School Teacher | (Level 1) Educator Emeritus

Posted on

The exclamation point means "factorial."  That probably doesn't help though.  Factorial is a procedure that you do to that number.  You need to multiply that number by each consecutive lower integer.

4! = 4 factorial = 4 x 3 x 2 x 1 = 24

5! = 5 x 4 x 3 x 2 x 1 = 120

2X^0 + 4!       and X = 4

Put in the X value

2(X^0) + 4!

An exponent of 0 = 1.

2 x 1 + 4!

2 + 4! = 26

Educator Approved

Nolan McShea | Student, Grade 11 | (Level 2) Honors

Posted on

The problem says that the value of `x` is `4` .

So, you can plug in that value, or assign all of the `x` in the equation to `4` , the given value.

With that, the new equation looks like this:

`2*4^0+4!`

Now what we need to do is use PEMDAS, or the order of operations.

In case you don't know, PEMDAS goes in this order, from what you should do first in an equation to what you should do last:

1. Parentheses (do what is in the parentheses first)
2. Exponents
3. Multiplication
4. Division (With multiplication and division, you just do it from left to right)
6. Subtraction (With addition and subtraction, you just do it from left yo right, too.)

With knowing that, you wouldn't do `2*4`, you would do `4^0` first.

When there is an exponent of 0, the value below it is ALWAYS equal to 1.

So,

`4^0=1`

Next, you can do the multiplication.

`2*1=2`

Now onto the next part of the equation.

`4!`

The explanation point is a factorial. Fear not if you have never heard of this, as it is relatively simple. In a factorial, you just multiply every value to the number from that number all the way down to the number 1. In this example, it would be

`4*3*2*1=24`

If you were to be doing a bigger number, like 7, for instance, it would look like this:

`7*6*5*4*3*2*1=5040`

You can pretty much ignore the 1, as any number multiplied by 1 equals itself. Thus, we can change the definition of a factorial into multiplying every value of to the number from that number all the way down to the number 2.

Back to the equation. All we need to do left is add the new values that we've got.

`2+24`

`2+24=26`