Question

4^0/4^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we need to apply the rule of exponents which states that when you divide two numbers with the same base, you subtract the exponents.

Using this rule, we can simplify the expression as follows:
4^0/4^3 = 4^(0-3) = 4^(-3).
Now, since any non-zero number raised to the power of -n is equal to 1 divided by the number raised to the power of n, we can rewrite the expression as follows:
4^(-3) = 1/4^3.
Finally, we can evaluate the expression:
1/4^3 = 1/64.
Therefore, 4^0/4^3 is equal to 1/64.