Question

Rewrite the expression without using a negative exponent. (1)/(2m⁻⁴)

Answer 1

To rewrite
`1/2m^{-4` without a negative exponent, move the term with the negative exponent to the numerator and change its exponent to positive, resulting in
`2m^4`.

Step-by-step explanation:

To rewrite the expression
`1/2m^{-4` without using a negative exponent, you should recognize that a negative exponent indicates reciprocal. According to the rule for negative exponents, x⁻⁻¹ is the same as 1/x¹. Therefore, you move the term with a negative exponent from the numerator to the denominator or vice versa, and change the sign of the exponent to positive. Thus,
`1/2m^{-4` becomes 2m⁴ because the m⁻⁴ term is moved to the numerator and its exponent becomes positive.

This simplification process adheres to the rule that a negative exponent signifies taking the reciprocal, allowing the expression to be rewritten as 2m⁴ by moving the term with the negative exponent from the denominator to the numerator and changing its exponent to positive.