Final answer:
When performing calculations with functions raised to powers, we use the basic rules of exponentiation, which involves repetitive multiplication. Conversion factors may be used to convert and raise units to a power. Calculators such as TI-83, 83+, or 84 can aid in these calculations, and understanding exponents and logarithms is crucial for inverting powers.
Step-by-step explanation:
To calculate a function raised to a power, we must understand the rules that govern exponentiation. When we have an expression like ab, this is an example of raising a number to a power, which is simply shorthand for multiplying the number by itself b-1 additional times. For example, 43 equates to 4 x 4 x 4.
Raising units to a power involves similar rules. If a unit needs to be converted and then raised to a power, we can use conversion factors to first convert the base unit and then apply the exponent to the converted value. This is outlined in the learning objectives for Units Raised to a Power.
The TI-83, 83+, or 84 calculators have built-in functions that can assist with exponentiation. An example of a more complex scenario is finding the value of a variable in an equation that has been squared. This may require inverting the square by taking the square root, effectively raising the variable to the power of 1/2. Understanding how to deal with exponents and logarithms is crucial in these scenarios.
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