Final answer:
To multiply 3a^2 by 2a^3, you multiply the coefficients (3*2=6) and add the exponents of 'a' (2+3), giving a final product of 6a^5, which should be placed in the appropriate location on your grid.
Step-by-step explanation:
Understanding Multiplication of Algebraic Terms
To answer the question: Place the indicated product in the proper location on the grid. 3a2 · 2a3, we need to multiply algebraic terms. This involves the Law of Exponents which states that when multiplying terms with the same base, you add the exponents. The coefficient, in this case the numbers in front of the variables, are multiplied normally.
- First, multiply the coefficients: 3 × 2 = 6.
- Next, add the exponents of a: 2 + 3.
Final Calculation
The product is 6a5 because the exponents of a (2 and 3) add up to 5. Place this product in the designated spot on the grid provided by your assignment or in the appropriate format required by your teacher.