Question

question 9.
\\(\frac{2^4}{2^3} = \frac{2(2)(2)(2)}{(2)(2)(2)} = 2^1\\)
use the problem shown to write a general rule for simplifying the expression \\(\frac{m^5}{m^3}\\).
a. \\(\bigcirc\\) \\(m^{5(3)}
\\)b. \\(\bigcirc\\) \\(m^{5/3}
\\)c. \\(\bigcirc\\) \\(m^{5 - 3}
\\)d. \\(\bigcirc\\) \\(m^{5 + 3}\\)

Explanation:

Step1: Analyze the given example

The example shows $\frac{2^5}{2^3} = \frac{2\times2\times2\times2\times2}{2\times2\times2} = 2^{5-3}=2^2$. When dividing like bases, we subtract exponents.

Step2: Apply to the general case

For $\frac{m^5}{m^3}$, following the same logic as the $2$ example, we subtract the denominator exponent from the numerator exponent.

Answer:

C. $m^{5-3}$