Final answer:
The equivalent of (1/125)¹²µ is 125 because a fraction to a negative power equals its reciprocal to the same positive power. Conversion from grams to ounces uses the recognized conversion ratio, yielding the result in ounces. Exponential multiplication is demonstrated by multiplying the exponents when the same base is raised to powers.
Step-by-step explanation:
The equivalent of (1/125)¹²µ involves understanding that when a fraction is raised to a negative exponential power, it is equal to the reciprocal of the fraction raised to that same positive power. This means (1/125)¹²µ = 125¹²µ = 125. This concept uses the rule of exponents where (a⁻¹)⁵ = a⁵ and is confirmed by the idea that one eighth of 1,000 is 125, which is similar to a reciprocal process.
The correct unit conversion factor when converting from grams to ounces involves the ratio that cancels out grams and leaves ounces. In this scenario, if we need to convert 125 grams to ounces, we would use the conversion rate from the table: 1 oz = 28.349 g. Using this, we can set up a conversion factor: X OZ = 125 g × (1 oz / 28.349 g), which would give us the correct amount in ounces.
Finding the power of a number, such as 3².35, involves multiplying the exponent values. However, since 2.35 is not a whole number, it would involve additional steps not clearly described here. Nevertheless, the method of exponential multiplication used in the example 5³´ shows that the exponents are indeed multiplied, yielding 5¹². Similarly, x⁰¹⁹ = x⁰⁹ would apply, demonstrating the addition of exponents rule in cases where we have the same base being raised to powers.