SOLUTION: If 16^n=64, then what is the value of 4^-n?

SOLUTION: If 16^n=64, then what is the value of 4^-n?

Algebra.Com

Question 427713: If 16^n=64, then what is the value of 4^-n?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution: we rewrite this equation:
, since bases are equal, to hold the equality needed: 2n=3
=>n=3/2.
We plug n=3/2 to and find the value of this expression:
=
=
RELATED QUESTIONS
If 16^n = 64, then what is the value of 4^-n... (answered by Fombitz)

If 64^2n+1 = 16^4n-1, what is the value of... (answered by Alan3354)

If 2^n + 2^n + 2^n + 2^n = 2^10 then what is the value of n? Please... (answered by ikleyn)

please help me solve this equation {{{ if 4^n=20, then what is the value of 4^-n (answered by jim_thompson5910)

If C(n,4)=C(n,10). What is the value of... (answered by Theo)

The cube root of the square of a real number n is 16. What is the value of n? a 4/3... (answered by nyc_function)

If N^20 < 3^50, then what is the largest possible value of... (answered by solver91311)

If P(n,2)=20 then what is the value of n? Show your solution (answered by Alan3354)

if f(1)=9 and f(n)=-3f(n-1)+n then what is the value of... (answered by ikleyn)