What is 3.0801^9?
I have done it on a calculator and I got 24950.7354056, but I have seen other things about it, and those things say 24948.5693. Which is the correct answer.
I really do not know, but considering the answer that I got on the calculator, I think that one is correct. Please help, I will appreciate it if you guys do.
On yor computer you have calculator on 32 digits:
start -> Programs -> Accesories -> Calculator
When you open Calculator clik :
View
then
Sceintific
then type:
3.0801
x ^ y
9
then =
P.S.
3.0801 ^ 9 =
3.0801 * 3.0801 * 3.0801 * 3.0801 * 3.0801 * 3.0801 * 3.0801 * 3.0801 * 3.0801=
24950.735405559988240037351727085
Thank you, I was very confused with it. I had done another problem on this site a couple days ago, and that tutor said 24948.5693, so I didn't know. Today though, I did the 3.801 to the 9th power part on the calculator, and got the other answer, which I now know is correct. Thank you again!
To calculate the value of 3.0801^9, you can use the exponentiation property:
a^n = (a^(n/2))^2
This property allows you to calculate large exponents by breaking them down into smaller, more manageable ones.
Here's how you can use this property to calculate 3.0801^9:
1. Begin by reducing the exponent to its smallest power of 2. In this case, 9 is not a power of 2, so we will round it down to the nearest power of 2, which is 8.
2. Next, rewrite 3.0801^9 as (3.0801^8) * 3.0801.
3. Calculate the value of 3.0801^8 by using the exponentiation property again:
(3.0801^8) = ((3.0801^4)^2)
= ((3.0801^2)^2)^2
4. Calculate the value of 3.0801^2:
(3.0801^2) = 9.48651601
5. Square the result from step 4:
(9.48651601)^2 = 89.70907351
6. Square the result from step 5:
(89.70907351)^2 = 8,041.258776
7. Raise the result from step 6 to the power of 2:
(8,041.258776)^2 = 64,652,695.024976
8. Now, multiply the result from step 7 by 3.0801:
64,652,695.024976 * 3.0801 = 198,864,300.060
So, according to the above calculations, the correct answer is approximately 198,864,300.060. It seems that the value you obtained from your calculator, 24950.7354056, is incorrect.