8 squared by 6 ÷ 4 squared by 3 =

8^6 ÷ 4^3

8^6 = 262,144

4^3 = 64

So, 262,144 ÷ 64 = 4,096.

Done!

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