If a problem is 4^4/4^6 is it = to 1/4^2 or just 16?

it's 1/4^2 = 1/16

Thank you Steve

To solve the expression 4^4/4^6, we can simplify the numerator and denominator separately, and then divide the numerator by the denominator.

First, let's focus on the numerator, 4^4. This means 4 raised to the power of 4, which is calculated as 4 * 4 * 4 * 4 = 256.

Next, let's deal with the denominator, 4^6. This means 4 raised to the power of 6, which is calculated as 4 * 4 * 4 * 4 * 4 * 4 = 4096.

Now, we have the expression 256/4096. To simplify this fraction, we can reduce both the numerator and denominator by dividing them by their greatest common divisor (GCD), which is 256.

Dividing the numerator (256) by the GCD (256) gives us 1, and dividing the denominator (4096) by the GCD (256) gives us 16.

Hence, the simplified expression is 1/16. Therefore, the value of the expression 4^4/4^6 is equal to 1/16, not just 16.