4^5/4^5
The answer is 1.
This is because any number raised to the power of 0 is equal to 1, and 4^5/4^5 can be simplified to (4 x 4 x 4 x 4 x 4)/(4 x 4 x 4 x 4 x 4) which results in 1.
3^3/3^6
The answer is 1/27.
This is because when we divide two exponents with the same base, we need to subtract the exponents from each other. So 3^3/3^6 = 3^(3-6) = 3^-3.
A negative exponent means that we take the reciprocal of the base raised to the positive exponent. So 3^-3 = 1/3^3 = 1/27.
To simplify the expression (4^5)/(4^5), we can use the property of exponents that states when you divide two numbers with the same base, you subtract their exponents.
In this case, the base is 4, and the exponents are both 5. Therefore, the expression simplifies to:
(4^5)/(4^5) = 4^(5 - 5) = 4^0
Now, any number raised to the power of 0 is equal to 1. Therefore, the final result is:
4^0 = 1
So, (4^5)/(4^5) equals 1.