Answer: To simplify the expression 7a^⁻⁵b^3, we can use the negative exponent property, which states that a^⁻ⁿ = 1/aⁿ. Applying this property to the variable a gives us:
7a^⁻⁵b^3 = 7(1/a⁵)b^3
We can also simplify b^3 to get the final answer:
7a^⁻⁵b^3 = 7b^3/a⁵
Therefore, the simplified expression is 7b^3/a⁵.