Multiply or divide, as indicated. 15p^3/9p^2 * 12p/10p^3
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Simplifying Fractions
Simplifying fractions involves reducing the numerator and denominator by their greatest common factor (GCF). This process makes calculations easier and helps in understanding the relationship between the numbers. For example, in the fraction 15/9, both numbers can be divided by 3 to simplify it to 5/3.
When multiplying monomials, you multiply the coefficients (numerical parts) and add the exponents of like bases. For instance, when multiplying 3p^2 by 4p^3, the result is 12p^(2+3) = 12p^5. This rule is essential for handling expressions involving variables raised to powers.
Multiply Polynomials Using the Distributive Property
Dividing Monomials
Dividing monomials requires dividing the coefficients and subtracting the exponents of like bases. For example, when dividing 12p^4 by 3p^2, you divide the coefficients (12/3 = 4) and subtract the exponents (p^(4-2) = p^2), resulting in 4p^2. This concept is crucial for simplifying expressions in algebra.