i am not sure how to to this problem....

X(X+10^-3/4 - (x+1)^1/4 / x^2

the -3/4 and 1/4 are fractions and exponents

To solve the given expression, let's break it down step by step.

First, we need to simplify the exponents.

1. Start with simplifying the expression within the parentheses: (x + 10^(-3/4) - (x + 1)^(1/4)).

2. Next, we can distribute the negative sign to simplify the expression further: x + 10^(-3/4) - (x + 1)^(1/4).

3. To simplify the expression within the parentheses, let's break it down:
a. x is already simplified, so we can leave it as it is.
b. 10^(-3/4) can be simplified by taking its fourth root: (10^(-3))^(1/4).

To simplify 10^(-3), we can rewrite it as 1/10^3. So, (1/10^3)^(1/4) = 1/(10^3)^(1/4).

Now we can apply the exponent to both 10 and 3: 1/(10^(3/4)).

c. (x + 1)^(1/4) is already simplified, so we leave it as is.

4. Now that we have simplified the expression within the parentheses, we can rewrite the original expression as:
x + 1/(10^(3/4)) - (x + 1)^(1/4).

Next, we can simplify the expression further by combining like terms.

5. Distribute the negative sign to the second part of the expression to get:
x + 1/(10^(3/4)) - x - (1)^(1/4).

Note: Since "x" is present in both terms, it cancels out when we subtract them.

6. Simplify the expression further:
1/(10^(3/4)) - (1)^(1/4).

At this point, we have simplified the expression as much as possible. However, if your intention is to evaluate the expression for a specific value of "x," you can substitute that value into the expression and compute the result accordingly.