Question

write the expression as a single power.
\\(\frac{12^5}{12^3} = quad 12^2\\)
how can you write any expression of the form \\(\frac{a^m}{a^n}\\) as a single power?
\\(\frac{a^m}{a^n} =\\) ?
options:
\\(a^{m + n}\\)
\\(a^{m - n}\\)
\\(a^{mn}\\)
\\(a^{m div n}\\)

Explanation:

Step1: Recall exponent division rule

For non-zero base $a$, when dividing like bases, subtract exponents.

Step2: Match to general form

Apply the rule to $\frac{a^m}{a^n}$, so $\frac{a^m}{a^n}=a^{m-n}$

Answer:

$\boldsymbol{\frac{a^m}{a^n}=a^{m-n}}$