what is 2 to the power of 5 times 1/22 ( the second 2 in the 1/22 is the power of 2
PLZ help I am so confused
the way to write this online is
2^5 * 1/2^2
When dividing, subtract powers, so that gives you
2^5/2^2 = 2^(5-2) = 2^3 = 8
To calculate 2 to the power of 5, you multiply 2 by itself five times:
2^5 = 2 * 2 * 2 * 2 * 2 = 32
Now, let's calculate 1/22 to the power of 2. To do this, we raise 1/22 to the power of 2:
(1/22)^2 = (1/22) * (1/22) = 1/484
Finally, we multiply the results:
32 * (1/484)
To simplify this multiplication, we can first simplify 32 as 32/1:
(32/1) * (1/484)
Next, we multiply the numerators together and the denominators together:
(32 * 1) / (1 * 484) = 32 / 484
To further simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:
32/4 = 8
484/4 = 121
So, the answer is:
8/121