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Learn how to simplify exponential expressions by applying rules such as adding exponents when multiplying like bases, multiplying exponents when raising a power to a power, handling negative exponents, dividing like bases, and more. Practice each rule with provided examples to enhance understanding.
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RULES FOR SIMPLIFING EXPONENTIAL EXPRESSIONS
WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
WHEN RAISING A POWER TO A POWER, YOU MULTIPLY THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:
ANY INTEGER RAISED TO NEGATIVE ONE IS THE RECIPROCAL OF THAT INTEGER. FOR EXAMPLE: NOW YOU TRY:
Any fraction raised to negative one is the reciprocal of that fraction. FOR EXAMPLE: NOW YOU TRY:
WHEN DIVIDING LIKE BASES, YOU SUBTRACT THE EXPONENTS. FOR EXAMPLE: NOW YOU TRY:
ANY NUMBER RAISED TO THE FIRST POWER IS ITSELF. FOR EXAMPLE: NOW YOU TRY:
ANY NUMBER RAISED TO THE ZERO POWER IS ONE. FOR EXAMPLE: NOW YOU TRY:
HOW DO WE GET ANY NUMBER RAISED TO THE ZERO POWER EQUAL TO ONE? can be written as Working backward-you subtract the exponents when you are dividing like bases. Then any number divided by itself will give you ONE!!!