Rewrite the expression as a product of identical factors to find the product for 100 3/2
. Submit your answer in simplified form.
What rational number could be used as an exponent to rewrite 4√23
To rewrite 4√23 as a rational exponent, we need to find a rational number that, when raised to that exponent, gives the same result as the square root of 23.
Let's start by expressing 4√23 as (23)^(1/2) * 4. We can rewrite 4 as 2^2, so now we have (23)^(1/2) * 2^2.
Since the square root of 23 is not a perfect square, we cannot simplify it any further using rational exponents.
How can you rewrite 9 1/3 using a root?
To rewrite 9 1/3 using a root, we can express it as a fractional exponent.
9 1/3 can be written as (9^(1/3)).
So, 9 1/3 can be rewritten as the cube root of 9.
Which factors of the base would help simplify the expression 16 1/4?
a. 16 = 4 x 4
b. 16 = 4 x 2 x 2
c. 16 = 2 x 2 x 2
d. 16 x 8 x 8
To simplify the expression 16 1/4, we need to find factors of the base, 16.
Out of the given options, the factorization of 16 that would help simplify the expression is:
16 = 2 x 2 x 2 x 2
Therefore, the answer is option c. 16 = 2 x 2 x 2.
Given that the cube root of 27 is 3, what is 27 4/3
To simplify the expression 27 4/3, we can rewrite it using the properties of exponents and roots.
Given that the cube root of 27 is 3, we can rewrite 27 as (3^3).
Now, we can substitute this into the expression:
(3^3) 4/3
Using the properties of exponents, we can multiply the exponents:
3^(3*(4/3))
This simplifies to:
3^(4)
So, 27 4/3 is equivalent to 3^4, which is 81.
Given that the meaning of a rational exponent can be connected to the meaning of a root, how can you rewrite 3√5 using a rational exponent?
To rewrite 3√5 using a rational exponent, we need to express the cube root as a fraction exponent.
When we write 3√5 as a rational exponent, we can use the rational form 1/3.
Therefore, 3√5 can be expressed as 5^(1/3).