2^2/2^-4
To solve this expression, you can follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Using exponent rules, we can simplify the expression as follows:
2^2 ÷ 2^-4
= (2^2) ÷ (1/2^4)
= (2^2) ÷ (2^(-4))
= 2^(2 - (-4))
= 2^(2 + 4)
= 2^6
= 64
Therefore, 2^2 ÷ 2^-4 equals 64.
To simplify the expression 2^2 / 2^(-4), we can apply the rules of exponents.
First, let's simplify the numerator, 2^2:
2^2 = 2 * 2 = 4
Now, let's simplify the denominator, 2^(-4):
Recall that a negative exponent indicates the reciprocal of the base raised to the positive exponent. So, 2^(-4) can be rewritten as 1 / 2^4.
Simplifying 2^4:
2^4 = 2 * 2 * 2 * 2 = 16
Now, let's substitute the numerator and denominator back into the expression:
4 / (1 / 16)
To divide by a fraction, we multiply by its reciprocal:
4 * (16 / 1)
Multiplying 4 by 16:
4 * 16 = 64
Therefore, 2^2 / 2^(-4) simplifies to 64.
To solve this expression, we can simplify the numerator and the denominator separately and then divide them. Let's start with the numerator.
In the numerator, we have 2^2. This means 2 raised to the power of 2, which is 2 multiplied by itself. So 2^2 equals 2 * 2, which is 4.
Moving on to the denominator, we have 2^-4. This means 2 raised to the power of -4. When a number is raised to a negative exponent, it means we need to take the reciprocal of that number raised to the positive exponent. So 2^-4 is equal to 1 / 2^4.
Now, let's simplify the denominator further. We have 1 divided by 2^4. 2^4 means 2 raised to the power of 4, which is 2 * 2 * 2 * 2. So 2^4 equals 16.
Therefore, 1 / 2^4 is equal to 1 / 16.
Now, let's divide the numerator and the denominator: 4 divided by (1/16). Dividing by 1/16 is the same as multiplying by its reciprocal, which is 16/1.
So, 4 divided by (1/16) is equal to 4 * (16/1).
Multiplying 4 and 16 gives us 64. Therefore, the final result is 64.