Final answer:
To rewrite the expression with positive exponents, you can convert b^-2 to 1/b^2 and then multiply this by a^2, resulting in a^2b^2.
Step-by-step explanation:
To rewrite the expression a^2/b^-2 with positive exponents and simplify it, you follow the rule of Division of Exponentials which states that you divide the digit term of the numerator by the digit term of the denominator and subtract the exponents of the exponential terms. Since we're dealing with a negative exponent in the denominator, we can rewrite b^-2 as 1/b^2, thus turning the negative exponent into a positive one. The expression a^2/b^-2 then simplifies to a^2 × b^2, or simply a^2b^2.
Remember that when simplifying expressions with exponents, it is also possible to encounter situations where you have to square exponentials or undo a mathematical function, such as taking the square root to find a single value from a squared term.