# Raising a Product or Quotient to a Power

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Raising a Product or Quotient to a Power

# Raising a Product or Quotient to a Power

It is important to know some general rules about exponents:

In radical notation, these properties are written as

#### Exponent Rule #1

Whenever you multiply terms of the same base, you can add the exponents.

( x m ) ( x n ) = x( m + n )

Note: You cannot  add the exponents in this case: (x4)(y3) because x and y are different base terms.

Practice:

1. Simplify
2. Simplify

Exponent Rule #2

Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power:

( xm ) n = x m n

Practice:

1. Simplify
2. Simplify
3. Simplify (Note the "squared" applies to both x and y).

Exponent Rule #3

Anything to the power of zero is one.

Exponent Rule #4

If you are dividing quantities with the same base term, you can subtract the exponents.

Practice:

Exponent Rule #5