Final answer:
To divide two fractions, we rewrite the division as multiplication by the reciprocal of the divisor, multiply the numerators and denominators, and simplify by dividing out common factors. For exponential terms, we divide the coefficients and subtract exponents with the same base.
Step-by-step explanation:
To divide two fractions, you start by rewriting the division question as multiplication by the reciprocal of the divisor. This means you flip the second fraction so that the numerator becomes the denominator and the denominator becomes the numerator. The process is then straightforward: multiply the numerators of the resulting fractions and do the same for the denominators. To simplify, you look for any common factors between the numerator and the denominator and reduce the fraction by dividing them by the common factors.
For example, let's divide 1/2 by 3/4. First, take the reciprocal of 3/4, which is 4/3. Then, multiply 1/2 by 4/3 to get 4/6. Finally, simplify 4/6 by dividing both numerator and denominator by 2, which gives us the simplified result of 2/3.
When dividing exponentials, you divide the digit terms and subtract the exponents in the numerator from the exponents in the denominator. This applies when the bases are the same. For example, dividing 23 by 22 is simplified to 2(3 - 2), which equals 21 or just 2.