What is value of ( (27)^{2/3} )
Answer and explanation
Correct answer: 9
Using the fractional exponent rule, write 27 as 3^3: 27 = 3^3. Therefore, (27)^{2/3} = (3^3)^{2/3} = 3^{(3×2/3)} = 3^2 = 9. Hence, option A is correct. An efficient exam method is to take the cube root first and then square: ∛27 = 3, so 3^2 = 9. Option 3 gives only the cube root, while 27 is the original number.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Using the fractional exponent rule, write 27 as 3^3: 27 = 3^3. Therefore, (27)^{2/3} = (3^3)^{2/3} = 3^{(3×2/3)} = 3^2 = 9. Hence, option A is correct. An efficient exam method is to take the cube root first and then square: ∛27 = 3, so 3^2 = 9. Option 3 gives only the cube root, while 27 is the original number.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
