What is the value of 4¹?
Answer and explanation
Correct answer: 4
The governing exponent rule is that any nonzero number raised to the first power remains unchanged: a¹ = a. Applying this rule with a = 4 gives 4¹ = 4. Therefore option C is correct. Option B, 1, is the value of 4⁰, not 4¹. Option D, 16, is 4², so it uses the wrong exponent. Option A, 0, does not follow from any ordinary positive integral power of 4. The exponent tells how many times the base is used as a factor; with exponent 1, there is one factor of 4, not zero factors or two factors. Thus the expression has the simple value 4.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The governing exponent rule is that any nonzero number raised to the first power remains unchanged: a¹ = a. Applying this rule with a = 4 gives 4¹ = 4. Therefore option C is correct. Option B, 1, is the value of 4⁰, not 4¹. Option D, 16, is 4², so it uses the wrong exponent. Option A, 0, does not follow from any ordinary positive integral power of 4. The exponent tells how many times the base is used as a factor; with exponent 1, there is one factor of 4, not zero factors or two factors. Thus the expression has the simple value 4.
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.
