what rational number could be used as an exponent to rewrite 4 2/3
To rewrite 4 2/3 as an exponent, we can convert it to an improper fraction first.
4 2/3 = (4 * 3 + 2)/3 = 14/3
Now, we can choose any rational number as an exponent. Let's say we choose 1/2 as the exponent.
(14/3)^(1/2) = √(14/3)
This gives us the square root of 14/3 as the result.
To rewrite 4 2/3 as an exponent, we need to convert it to an improper fraction first.
To convert the mixed number 4 2/3 to an improper fraction, multiply the whole number (4) by the denominator (3), and add the numerator (2). This gives us a numerator of 14. The denominator remains the same, 3.
So, 4 2/3 as an improper fraction is 14/3.
Now, let's find a rational number that can be used as an exponent to rewrite 4 2/3. Any rational number can be used as an exponent, as long as the base is positive.
Let's say we choose 2/3 as the rational exponent.
Now, we can rewrite 4 2/3 as:
(14/3)^(2/3)
This is one possible way to rewrite 4 2/3 with a rational number as an exponent.