Solve a^1/2 / a^2
if you mean simplify, it's
a^1/2 * a^-2 = a^(1/2 - 2) = a^3/2
oops a^-3/2
To simplify the expression (a^(1/2))/(a^2), we can use the properties of exponents.
First, let's recall that when we divide two numbers with the same base, we can subtract their exponents. In this case, the base is 'a'.
So, the expression becomes a^(1/2 - 2). Simplifying further, we have a^(-3/2).
Now, here's a general rule for handling negative exponents: When a number or variable is raised to a negative exponent, you can write it as the reciprocal of the positive exponent.
Applying this rule, a^(-3/2) can be rewritten as 1/a^(3/2).
Therefore, the simplified version of (a^(1/2))/(a^2) is 1/a^(3/2).