unit 2.1  what is a power
what do we need to know?
Order of operations  BEDMAS
Multiplication
Exponent
Multiplication
Exponent
CLass notes
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A power is defined as repeated multiplication. All powers are made up, as you can tell, of a BASE and an EXPONENT:
All powers with exponent of 2 are called "squared." This is because a power with an exponent of 2 can be represented graphically with a square whose area represents the STANDARD FORM of a power.
The square above represents a power with base 5 and exponent 2.
Similarly, all powers with exponent equal to 3 are called "cubed." This is because a power with an exponent of 3 can be represented graphically with a cube:
Similarly, all powers with exponent equal to 3 are called "cubed." This is because a power with an exponent of 3 can be represented graphically with a cube:
When a negative sign accompanies the base AND it is enclosed within brackets, this means the BASE IS NEGATIVE. If the negative sign is not inside brackets, it does NOT belong to the base. This means that, although there is a negative sign, the base is POSITIVE but its standard form is negative:
When the power has a negative base AND an EVEN exponent > STANDARD FORM is ALWAYS POSITIVE.
When the power has a negative base AND an ODD exponent > STANDARD FORM is ALWAYS NEGATIVE.
When the power has a negative base AND an ODD exponent > STANDARD FORM is ALWAYS NEGATIVE.
Here is the summary of powers with negative signs:
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