If 5^21 X 4^11 = 2x10^n. What is the value of n?
If 5^21 X 4^11 = 2x10^n. What is the value of n?
Answer/Solution
21
Steps/Work
If 5^21 x 4^11 = 2x10^n what is the value of n
4^11 = (2^2)^11 = 2^22
10^n = (5x2)^n = 5^n x 2^n
5^21 x 2^22 = 2x 2^n x 5^n = 2^n+1 x 5^n = 2^22 x 5^21
n = 21
Option B
4^11 = (2^2)^11 = 2^22
10^n = (5x2)^n = 5^n x 2^n
5^21 x 2^22 = 2x 2^n x 5^n = 2^n+1 x 5^n = 2^22 x 5^21
n = 21
Option B