What is the square root of 4 raised to the fifth power?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Prepare for the General AandP Test with comprehensive study materials. Utilize flashcards and multiple-choice questions, each with explanations. Get ready for success in your exam journey!

Multiple Choice

What is the square root of 4 raised to the fifth power?

Explanation:
Understanding how exponents and square roots interact helps here. Taking a square root lowers the exponent by half, and raising to a power multiplies the exponent. Rewrite 4 as 2^2. Then 4^5 becomes (2^2)^5 = 2^10. Taking the square root is the same as raising to the 1/2 power: (2^10)^{1/2} = 2^5 = 32. Another way: sqrt(4) = 2, and 2^5 = 32. So, the result is 32.

Understanding how exponents and square roots interact helps here. Taking a square root lowers the exponent by half, and raising to a power multiplies the exponent.

Rewrite 4 as 2^2. Then 4^5 becomes (2^2)^5 = 2^10. Taking the square root is the same as raising to the 1/2 power: (2^10)^{1/2} = 2^5 = 32.

Another way: sqrt(4) = 2, and 2^5 = 32.

So, the result is 32.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy