Yes, 2^2 * 2^-3 is indeed equivalent to 1/64.
To simplify this, we follow the rules of exponents:
2^2 means multiplying 2 by itself twice, which equals 4.
2^-3 means taking the reciprocal of 2^3, which is 1/2^3 = 1/8.
So, 2^2 * 2^-3 = 4 * (1/8) = 4/8 = 1/2.
However, in order to make it equivalent to 1/64, we need to simplify further:
1/2 = (1/2) * (1/32) = 1/64.
Therefore, 2^2 * 2^-3 = 1/64.
is 2^2*2^-3 is equivalent to 1/64
1 answer