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= = When multiplying like bases, we write the number as one base and add the exponents. = = Let a be a real number and m and n be integers, Then: = ==

= When raising a power to a power of a base, we write the number as one base and multiply the exponents. == Let a be a real number and m and n be integers, Then: = ==

= When raising multiple bases to a power, write each base raised to the power. = = Let a and b be real numbers and m be an integer, Then: = =

= When raising a base to the zero power, the result is always 1. Let a be a nonzero real number, Then: = =

Simplify: = = Product of powers property = = = Expanded form Simplify: Multiply Power of a product property Multiply

= Simplify: = Power of a power property = Simplify: an d  Power of a power property Power of a product property * A negative in the parentheses is being raised to the power. Rule: a negative raised to an odd power is negative a negative raised to an even power is positive = =  Power of a product property

Simplify: = = = = = = Product of a product property Product of powers property Multiply Product of a product property Zero exponent property Multiply 

Let a be a real number and m and n be integers, Then: = Let a be a real number and m and n be integers, Then: = Let a and b be real numbers and m be an integer, Then: = Let a be a nonzero real number, Then: =