What is value of ((x^{1/2})^4)
Answer and explanation
Correct answer: x^2
Use the power-of-a-power rule ((a^m)^n=a^{mn}) . Thus, ((x^{1/2})^4=x^{(1/2)\times4}=x^2) , so option A is correct. Option B leaves the original exponent unchanged, while options C and D result from multiplying the exponents incorrectly. Exam tip: when a power is raised to another power, multiply the two exponents.
Frequently asked questions
What is the correct answer to this question?
x^2
Why is this the correct answer?
Use the power-of-a-power rule ((a^m)^n=a^{mn}) . Thus, ((x^{1/2})^4=x^{(1/2)\times4}=x^2) , so option A is correct. Option B leaves the original exponent unchanged, while options C and D result from multiplying the exponents incorrectly. Exam tip: when a power is raised to another power, multiply the two exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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