Question

Rewrite the expression 16^6/8 in five different ways.

Answer 1

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Explanation:

1. Using the exponent rules, we can simplify 16^(6/8) as (2^4)^(6/8) = 2^3 = 8.

2. Using the exponent rule a^(m-n) = a^m/a^n, we can rewrite 16^6/8 as 16^(6-3)/1 = 16^3.

3. We can simplify 16^6/8 as (16/8)^6 = 2^6.

Using the exponent rule (a^m)^n = a^(m*n) and simplifying, we get 16^(6/3)/8 = 16^2/8.

Using the exponent rule a^(m+n) = a^m * a^n, we can rewrite 16^6/8 as (16^2) * (16^4) / 8 = 256 * (16^4) / 8.