Powers
Power formulas are based on simple calculations. All formulas are written below with examples. If you have a formula book in use, please, check how they are written there.
Based on these formulas: We can check this with numbers
Example 1.
In both cases, the power is an even number. This means that a negative number raised to an even power is always positive.
In these cases, the power is an odd number, i.e. negative number raised to an odd power is a negative number.
Example 2. If the next task should be calculated without a calculator, then raising the numbers to the power and then multiplying them will make the numbers unnecessarily large to calculate in your head. When the denominator numbers are converted into the power form, the "unnecessary" ones can be reduced and counting in the head is easier.
Especially in the field of technology, it is often necessary to work with parameters/variables (="letters"). In this case, the calculator does not even have the same benefit as when calculating with numbers. On the other hand, all terms are already given by powers and contraction can be done immediately. Below is the same task when no figures are provided:
Remember that contraction is only possible when numbers or terms are multiplication!
Example 2.
Example 3.
Example 4.