9514 1404 393
Answer:
4^4·6^5·7^7 = 1,639,390,814,208
Step-by-step explanation:
Taking the cube root multiplies each exponent by 1/3.
((4^12)(6^15)(7^21))^(1/3) = (4^(12/3))·(6^(15/3))·(7^(21/3)) = (4^4)(6^5)(7^7)
I did this last semester and I would remember it but unfortunately this was the only section I didn't study for the final bc we did one day on it. I'm sorry. Good luck.
I am unsure about the very last problem but I can help with the first two
1) (y+1)+4
If we combine the numbers 1 and 4, we get +5 and can isolate the numbers from the variable.
This would give us

2) (6*r)*7
remember that we do not have to explicitly state 6*r
Instead, we can write it as 6r
this helps us get rid of the parentheses
now we can write it as

I hope this helps!:)
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r =
=
=
= - 
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × -
= - 36
a₆ = - 36 × -
= 6
N= 2
Substitute 2 in for n in expression
=(5 + n) ÷ (n - 1)
=(5 + 2) ÷ (2 - 1)
=7 ÷ 1
=7
If n= 2, the expression equals 7.
Hope this helps! :)