Answer:
All three functions have the same minimum
Step-by-step explanation:
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.
4^(1/7) would become ⁷√4 .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.
4^(7/2) would become √(4⁷) ... the 7th power goes with the number under your radical and the "2" becomes a square root
7^(1/4) would become ⁴√7 ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7
7^(1/2) would become, simply, √7
Answer:
240000000 times bigger.
If we solve 3x10^8 we get 300000000
Then if we solve for 6x10^7 we get 60000000
Subtract those two using long subtraction to evaluate and we get 240000000
The answer is
X=7
Have a nice day <3
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:



The nth term of a geometric sequence is:

Where a is the first term and r is the common ratio.
Putting
, we get

Therefore, the required formula for the given sequence is
.
We need to find the 10th term of the given sequence. So, substituting
in the above formula.




Therefore, the 10th term of the given sequence is 2.1875.