Final answer:
To rewrite the expression using negative exponents, simply take the reciprocal of the variables with exponents and change the sign of their exponents to negative: 5a⁻³b⁻⁴.
Step-by-step explanation:
To rewrite the expression 5 over a³ times b⁴ using negative exponents, we first need to understand how negative exponents work. According to the rules of exponents, negative exponents indicate that the base should be taken as a reciprocal.
Therefore, an expression like x-n is equivalent to 1/xn. Applying this to our expression, we can rewrite it as 5a-3b-4. This is because taking a3 and b4 to the denominator and flipping the exponent sign to negative represents the reciprocal of a3 times b4.