Final answer:
Expressions A) 2x^-3, B) 5ab^-3, and C) 3x^-1y^-2 are rewritten without negative exponents as 2/x^3, 5/(a*b^3), and 3/(x*y^2), respectively, by moving the terms with negative exponents to the denominator.
Step-by-step explanation:
The task is to express the given expressions with negative exponents as fractions without negative exponents. Negative exponents indicate that the base should be placed in the denominator, and the exponent then becomes positive.
- A) 2x^-3 can be written as 2/x^3.
- B) 5ab^-3 can be expressed as 5/(a*b^3).
- C) 3x^-1y^-2 translates to 3/(x*y^2).
This transformation is based on the rule that describes the inversion of terms with negative exponents: for a nonzero number 'a' and integer 'n', a^-n equals 1/a^n.