Question

Please help with this assignment

Answer 1

A. The Error is (4+3)

B. The error in the math problem is in the simplification of
`$4a^(2) \cdot 3a^(5)`. The student has used the distributive property of addition to simplify the expression as
`$(4 + 3)a^(2 + 5)$`, which is incorrect.

C. The correct answer to
`4a^(2) \cdot 3a^(5) is $12a^(7)`.

The error in the math problem is in the simplification of
`$4a^(2) \cdot 3a^(5)`. The student has used the distributive property of addition to simplify the expression as
`$(4 + 3)a^(2 + 5)$`, which is incorrect.

The correct way to simplify the expression is to use the rule of exponents that states
`a^m \cdot a^n = a^(m + n)`. Therefore,
`$4a^(2) \cdot 3a^(5) = 12a^(2 + 5) = 12a^(7)`.

The student has also incorrectly stated that
`$(4 + 3) = a^(2 + 5)$`. This is not a valid mathematical operation.

Here is the correct solution to the problem:

`4a^(2) \cdot 3a^(5) = (4 \cdot 3) \cdot (a^(2) \cdot a^(5))`

`\hphantom{4a^(2) \cdot 3a^(5)} = 12 \cdot a^(2 + 5)` (using the commutative property of multiplication)

`\hphantom{4a^(2) \cdot 3a^(5)} = 12a^(7)` (using the rule of exponents)

Therefore, the correct answer to
`4a^(2) \cdot 3a^(5) is $12a^(7)`.