If (x \neq 0), what is the simplified form of (\dfrac{(2x)^3(3x^{-2})}{12x^{-1}})?
Answer and explanation
Correct answer: (,2x^2,)
The numerator is ((2x)^3(3x^{-2})=8x^3\cdot 3x^{-2}=24x), and (\dfrac{24x}{12x^{-1}}=2x^2). In exams, simplify both coefficient and variable parts.
Frequently asked questions
What is the correct answer to this question?
(,2x^2,)
Why is this the correct answer?
The numerator is ((2x)^3(3x^{-2})=8x^3\cdot 3x^{-2}=24x), and (\dfrac{24x}{12x^{-1}}=2x^2). In exams, simplify both coefficient and variable parts.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.