Final answer:
To simplify −(4x^5/15w^3)−¹, reciprocate the fraction to make the exponents positive and change the sign, resulting in the simplified expression 15w^3/4x^5.
Step-by-step explanation:
To simplify the expression −(4x5/15w3)−1 using positive exponents, we need to apply the rule that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent. In this case, the reciprocal of the expression inside the parentheses is (15w3/4x5). So, the simplified expression is:
−(4x5/15w3)−1 = 1/(15w3/4x5)
Next, we can simplify the fraction by multiplying the numerator and denominator by the reciprocal of the fraction. The reciprocal of (15w3/4x5) is (4x5/15w3). So, our final simplification is:
1/(15w3/4x5) = 4x5/15w3