Answer:
2^12 = 4096
Step-by-step explanation:
Assuming that the problem is:
8^(6) / 4^(3)
1. Convert all numbers to the same base
In other words, rewrite the problem such that all the bases (the numbers under the exponent) are the same.
8 can be rewritten as 2^3
4 can be rewritten as 2^2
Hence the problem is:
((2^(3))^(6)) / ((2^(2))^(3))
2. Combine the exponents on the numerator and denominator
((2^(3))^(6)) / ((2^(2))^(3))
Simplify, remember an exponent to the power of another exponent is the same as multiplying the two exponents, applying this:
(2^(18)) / (2^(6))
3. Simplify the fraction and solve
(2^(18)) / (2^(6))
Dividing two exponents, with the same base is the same as subtracting the exponents, hence:
(2^(12))
= 4096
