Question

Rewrite the expression 2w^-13 using a positive exponent.

a) 2w^13
b) 13w^2
c) 2w^(-13)
d) 13w

Answer 1

The expression 2w⁻¹³ with a positive exponent is rewritten as 2 / w¹³, which adheres to the rules of negative exponents.

Step-by-step explanation:

To rewrite the expression 2w⁻¹³ using a positive exponent, you apply the rule that x⁻ⁿ = 1 / xⁿ. Therefore, 2w⁻¹³ becomes 2 / w¹³ because you move the w term with a negative exponent from the numerator to the denominator and change the exponent to a positive value. By adhering to this rule, the expression is simplified, enabling clearer representation by flipping the term's position and modifying the exponent's sign. Thus, the reformulated expression, 2 / w¹³, exhibits the positive exponent form, enhancing comprehension of the mathematical representation.