7.4 Rational Exponents

Fractional Exponents (Powers and Roots)

Quick Review – Exponent Rules

NEGATIVE EXPONENT RULE Upstairs – Downstairs: A negative exponent means it’s in the wrong place.

PRODUCT OR POWER RULE HAVE TO HAVE THE SAME BASE

QUOTIENT OF POWER RULE HAVE TO HAVE THE SAME BASE

POWER OF POWER RULE (x4)³

POWER OF PRODUCT RULE (2x4)⁵

POWER OF QUOTIENT 2 RULE

RATIONAL EXPONENT RULE

RADICAL TO EXPONENT RULE

Let’s put a few ideas together Convert the decimal to a fraction

EX - simplify Need to Rationalize! Remember: We are ADDING exponents here – what do we need to add fractions? How did we get to here???

Let’s Try Some Hint: convert to a fraction rather than a decimal!

Let’s Try Some