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Which expression is equivalent to 12x³/8x², where x is not equal to 0? (April 2021 U.S.)

Which expression is equivalent to 12x³/8x², where x is not equal to 0?

A) 4/x
B) 3x/2
C) 4x
D) 20x⁵

Solution

Correct answer: B) 3x/2.
To simplify the expression 12x³/8x², you can divide the numerator by the denominator. When you divide the same bases (in this case, 𝑥) raised to different exponents, you subtract the exponents.
So, 12x³ divided by 8x² can be simplified as:

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Exam Edition: April 2021 U.S.

Exam Year: 2021

Related topics: Algebraic Expressions, Exponents, Division of Monomials