find the numerical equivalent of 2^5 * 2^-2
1. 128
2. 8
3. 2
4. 16
To find the numerical equivalent of 2^5 * 2^-2, we can simplify the expression first.
Recall that when multiplying numbers with the same base, you add their exponents. Therefore, we have:
2^5 * 2^-2 = 2^(5 + (-2)) = 2^3
2^3 means 2 raised to the power of 3, which is equal to 2 * 2 * 2.
Hence, the numerical equivalent is 8.
Therefore, the correct answer is option 2.
To find the numerical equivalent of 2^5 * 2^-2, we can simplify the expression first.
2^5 means multiplying 2 by itself 5 times, which can be written as 2 * 2 * 2 * 2 * 2 = 32.
2^-2 means dividing 1 by 2 raised to the power of 2, which is equivalent to dividing 1 by 2 * 2 = 1/4.
So, 2^5 * 2^-2 = 32 * (1/4).
To multiply fractions, we can multiply the numerators to get the new numerator and multiply the denominators to get the new denominator.
32 * (1/4) = 32/4.
Simplifying 32/4, we get 8.
Therefore, the numerical equivalent of 2^5 * 2^-2 is 8.
The correct answer is option 2.
To find the numerical equivalent of 2^5 * 2^-2, we can simplify it according to the laws of exponents.
First, let's simplify 2^5. This means multiplying 2 by itself 5 times:
2^5 = 2 * 2 * 2 * 2 * 2 = 32
Next, let's simplify 2^-2. This means taking the reciprocal of 2^2:
2^-2 = 1 / 2^2 = 1 / (2 * 2) = 1 / 4 = 0.25
Now, let's multiply 2^5 by 2^-2:
32 * 0.25 = 8
Therefore, the numerical equivalent of 2^5 * 2^-2 is 8.
The correct answer is option 2.