A student is multiplying (4a2)(5a3)
. Identify the student's mistake. (4a2)(5a3)==4a(2+3)4a5
;
Multiple choice question.
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A)
Find the Error run in is in pdf but not in digital
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B)
The students should've multiplied the exponents.
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C)
The student should've multiplied the coefficients and multiplied the exponents.
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D)
The student should've added the coefficients and subtracted the exponents.
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The correct answer is:
C) The student should've multiplied the coefficients and multiplied the exponents.
The student's mistake was applying incorrect operations to the coefficients and exponents. In the expression \( (4a^2)(5a^3) \), the correct steps are to multiply the coefficients (4 and 5) giving 20, and then to add the exponents of 'a' (2 and 3) giving \( a^{2+3} = a^5 \). The correct result should be \( 20a^5 \).
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