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.