Question

4. Rewrite each number in exponential notation using 3 as the base.

a. 9 = 3 x 3 = 32
b. 27 = 3 x 3x3 = 33
c. 81 = 3x3x3x3 = 34
d. 243 = 3x3x3x3x3 = 35
I need help ASAP

Answer 1

`a.\ 9= 3^2\\\\b.\ 27 =3^3\\\\c.\ 81= 3^4\\\\d. 243= 3^5`

Explanation:

It is important to remember the that Exponential notation is in the form:

`b^n`

Where:

• "b" is the base and "n" is the exponent.
• "b" is multiplied by itself "n" times.

Therefore, given the numbers
`9,27,81\ and\ 243`, you need to descompose them into their prime factors and then you must write them in exponential notation using 3 as the base.

Then:

`a.\ 9=3*3= 3^2\\\\b.\ 27 = 3*3*3=3^3\\\\c.\ 81 = 3*3*3*3 = 3^4\\\\d. 243 =3*3*3*3*3= 3^5`