Which expression is equivalent to $$ \frac{2^{3}}{2^{7}} $$ ? - $$ \frac{1}{2^{4}} 2^{4} $$-2

Question

UpStudy AI · Accepted Answer

We start with the expression

$$
\frac{2^3}{2^7}.
$$

Using the law of exponents for division, we subtract the exponents:

$$
\frac{2^3}{2^7} = 2^{3-7} = 2^{-4}.
$$

A negative exponent indicates the reciprocal:

$$
2^{-4} = \frac{1}{2^4}.
$$

Thus, the expression equivalent to $$\frac{2^3}{2^7}$$ is

$$
\frac{1}{2^4}.
$$
The expression equivalent to $$ \frac{2^{3}}{2^{7}} $$ is $$ \frac{1}{2^{4}} $$.

Which expression is equivalent to \( \frac{2^{3}}{2^{7}} \) ? - \( \frac{1}{2^{4}} 2^{4} \)-2