14.) 2^2/2^5
A.)8
B.)6
C.)1/8
D.)-8
2^2/2^5
= 4/34
= 1/8
The answer is C) 1/8
thank
For the work shown above, 4/32 was reduced to 1/8, NOT 4/34
To simplify the expression 2^2/2^5, we can use the property of exponents that states "a^m / a^n = a^(m-n)." In this case, we have 2^2 / 2^5.
First, let's simplify the bases. 2^2 means multiplying 2 by itself, which equals 4. Likewise, 2^5 means multiplying 2 by itself five times, which equals 32.
So, now we have 4/32. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
4 divided by 4 equals 1, and 32 divided by 4 equals 8. Therefore, the simplified fraction is 1/8.
Therefore, the correct answer is C) 1/8.