Question

Enter the correct answer in the box. What is the quotient of 15a⁴b³/12a²b ? Assume that the denominator does not equal zero.

Answer 1

To find the quotient of 15a4b3/12a2b, we need to simplify the expression by dividing the numerator by the denominator, The quotient of 15a´b³/12a²b, when simplified, is 1.25a²b².

Step-by-step explanation:

To find the quotient of 15a4b3/12a2b, we need to simplify the expression by dividing the numerator by the denominator. This process involves reducing the coefficients (the numerical parts) and subtracting the exponents of the corresponding variables. Here are the steps:

1. Start by dividing the coefficients: 15 divided by 12 reduces to 5/4 or 1.25 when simplified.
2. Subtract the exponents for the variable 'a': a4 divided by a2 is a4-2 or a2.
3. For the variable 'b', since there is only a b in the denominator, b3 divided by b is b3-1 or b2.

By combining these results, the quotient is 1.25a2b2.

As we reduce fractions, remember to apply division and subtraction correctly: coefficients are divided, and exponents of the same base are subtracted.