rewritten as a power of 2 with a rational exponent, the expression

4*squared root of 2 would equal which of the following.
1) 2 so 2 is just 2
2)2^2 which would =4
3) 2^5/2 this =5.65
4)2^5 this=32

4*square root of two=5.65
so I believe the answer is 3. Is that correct? Thanks for checking my work.

4 * sqrt ( 2 ) =

sqrt ( 16 ) * sqrt ( 2 ) =

sqrt ( 32 ) =

sqrt ( 2 ^ 5 ) =

( 2 ^ 5 ) ^ ( 1 / 2 ) =

2 ^ ( 5 / 2 )

Answer 3

It is not 4 squared times 2 the equation

It is 4 times the square root of two.
so my second step was to first get the square root of 2, which=1.4142
the multiplied it by 4
s0 4 x 1.412=5.65
Am I correct?

sqrt mean :

square root

4 * sqrt ( 2 ) = 4 * square root of 2

ANSWER 3

To rewrite an expression as a power of 2 with a rational exponent, you can use the properties of exponents.

In this case, the expression is 4 * square root of 2. Let's break it down step by step:

Step 1: Rewrite the square root of 2 as a power of 2. The square root of 2 can be expressed as 2^(1/2).

Step 2: Apply the exponent to the entire expression. So, 4 * square root of 2 is equivalent to 4 * (2^(1/2)).

Step 3: Use the property of exponents that states when you multiply two numbers with the same base, you can add their exponents. So, 4 * (2^(1/2)) is equivalent to (4 * 2)^(1/2) = 8^(1/2).

Step 4: The exponent 1/2 means square root. So, 8^(1/2) is equivalent to the square root of 8.

Now, let's compare the options:

1) 2 - This is just 2, not equal to the expression.

2) 2^2 - This is equal to 4, not equal to the expression.

3) 2^(5/2) - This is equal to 5.65, which is the same as the expression 4 * square root of 2.

4) 2^5 - This is equal to 32, not equal to the expression.

Therefore, the correct answer is option 3) 2^(5/2), which is equal to 5.65.

Well done! Your work is correct.