MATH 209 ALEKS BLUE Product Rule of Exponents

MATH 209 -- ALEKS BLUE Writing a positive number without a negative exponent

RULES OF EXPONENTS
Definition of Exponent: The number of times the base is multiplied by itself:
Exponent of One: When the exponent is one, it is not written. Conversely, if a number or variable does not have a written exponent, the exponent is one:
Exponent of Zero: Any expression with an exponent of zero is equal to one:
Product Rule: If the bases are the same, add the exponents to multiply:
Quotient Rule: If the bases are the same, subtract exponents to divide:
Power Rule: To raise a power to a power, multiply exponents:
Power of a Product: A term raised to a power is the same as each factor raised to that power:
Power of a Quotient: Any rational number raised to a power is the same as the numerator and denominator each raised to that power:
Negative Exponents: Negative exponents are defined as the reciprocal of the positive exponent:

For the problems of this type in ALEKS, you will be asked to apply the negative exponents rule.

Rewrite the following without an exponent:

(see next page)

Here’s another example:

Rewrite the following without an exponent: