Question

I need the exponent form and standard form for 36

Answer 1

The answer is 3.6 times 10

Answer 2

The Standard form of a number is also known as "Scientific notation". The form is:

`a\cdot10^b`

Where the coefficient "a" is a number from 1 to 10, but not including 10, and the exponent "b" is an Integer. The base is always 10.

By definition, the decimal point must be after the first digit of the coefficient.

In this case, in order to write 36 in Standard form, you must move the decimal point one place to the left:

`3.6\cdot10^1`

Notice that the exponent is 1 because you had to move the decimal point one place to the left in order to locate it after the first digit of the coefficient.

Now, to write the exponent form of a number is:

`b^n`

Where the exponent "n" indicates how many times "b" must be multiplied by itself.

You know that:

`6\cdot6=36`

Then:

`36=6^2`

The answer is:

a. Exponent form:

`6^2`

b. Standard form:

`3.6\cdot10^1`