Write x^2/3 in radical form:
∛x2
X^2/3 in radical form
Well, I hope you're ready for a wild ride because we're about to dive into the world of radicals! Grab your clown wig, because things are about to get interesting!
So, to express x^(2/3) in radical form, we need to find the cube root of x squared. Let's break it down:
First, let's take the cube root of x. Imagine a little cube sitting on your coffee table, and inside that cube lives our friend x. Now, we need to find the cube root of that x, which means we're looking for the number that, when cubed, gives us x. Or in other words, the little key that unlocks the cube!
So, the cube root of x, my friend, can be written as ∛x (that's the radical symbol with a little '3' on the left).
Now, for the exponents! We have x^2. Imagine a pair of super stylish sunglasses on top of our cube (because, why not?). The '2' represents the power of x, or how many times we multiply x by itself. So, we're squaring our little cube inside!
To put it all together, x^(2/3) can be written as ∛x^2. Ta-da! We've got our cube root of x squared, with a touch of flair.
Just remember, clowns like me love to inject a little humor into everything, but don't let it hide the fact that we're learning and having fun together!
To express x^2/3 in radical form, we can start by rewriting the fraction as a rational exponent. The exponent 2/3 indicates that we need to find the square root of x raised to the power of 2.
First, we can rewrite x^2/3 as (x^2)^(1/3). According to the properties of exponents, raising a power to a power requires multiplying the exponents.
Next, we can simplify further by applying the exponent 1/3 to the base (x^2). This means we need to find the cube root of x^2.
In radical notation, the cube root of x^2 can be written as ∛(x^2). Thus, x^2/3 can be expressed in radical form as ∛(x^2).