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

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

• A. 16
• B. 32
• C. 4
• D. 64

Answer: (B)

To find the square root of 4 raised to the fifth power, you start by expressing it mathematically. The square root of a number can be expressed as raising that number to the power of 1/2. Therefore, the problem can be rewritten as (4^5)^(1/2). When you raise a power to another power, you multiply the exponents. Thus, (4^5)^(1/2) becomes 4^(5 * 1/2), which simplifies to 4^(5/2). Now, you can break this down further. The power 5/2 can be interpreted as a combination of a whole number and a fractional exponent: 4^(5/2) = 4^2 * 4^(1/2). The term 4^2 equals 16, and 4^(1/2) is simply the square root of 4, which is 2. Now, multiplying these results together gives 16 * 2 = 32. Therefore, the correct answer to the question about the square root of 4 raised to the fifth power is 32.

To find the square root of 4 raised to the fifth power, you start by expressing it mathematically. The square root of a number can be expressed as raising that number to the power of 1/2. Therefore, the problem can be rewritten as (4^5)^(1/2).

When you raise a power to another power, you multiply the exponents. Thus, (4^5)^(1/2) becomes 4^(5 * 1/2), which simplifies to 4^(5/2).

Now, you can break this down further. The power 5/2 can be interpreted as a combination of a whole number and a fractional exponent: 4^(5/2) = 4^2 * 4^(1/2). The term 4^2 equals 16, and 4^(1/2) is simply the square root of 4, which is 2.

Now, multiplying these results together gives 16 * 2 = 32. Therefore, the correct answer to the question about the square root of 4 raised to the fifth power is 32.