I don't know how to rewrite an expression using rational exponent notation. The problem is shown as ^3 square root of 11.
The cube root of 11 can also be written
11^(1/3)
Is that what you mean by "rational exponent notation"?
To rewrite an expression using rational exponent notation, we can convert the given expression involving a radical into an equivalent expression using fractional exponents. Let's break down the steps:
Step 1: Understand the notation
In rational exponent notation, a radical expression with index n can be written as a fractional exponent with a numerator and denominator. The index n becomes the denominator, and the power in the radical becomes the numerator.
Step 2: Applying it to the given expression
The given expression is "cube root of 11," which means we need to rewrite it using a rational exponent.
Step 3: Write the expression using rational exponent notation
To rewrite the expression ^3 square root of 11 in rational exponent notation, we know that the index of the radical is 3 (because it's a cube root). So, we can rewrite it as 11^(1/3).
The expression 11^(1/3) is equivalent to the original expression ^3 square root of 11.
So, the final answer, written in rational exponent notation, is 11^(1/3).
To rewrite an expression using rational exponent notation, we need to express the square root (or any root) as a fraction in the exponent.
Step 1: Write the square root symbol as a fractional exponent. In this case, the square root (^2√) is the same as writing the exponent as 1/2.
Step 2: Rewrite the expression with the rational exponent. In this case, the expression "^3 square root of 11" can be written as 11^(1/2) raised to the power of 3.
Therefore, "^3 square root of 11" can be rewritten as (11^(1/2))^3.