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7.4 Rational Exponents. Fractional Exponents (Powers and Roots). “Power”. “Root”. 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.
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Fractional Exponents (Powers and Roots) “Power” “Root”
NEGATIVE EXPONENTRULE Upstairs – Downstairs: A negative exponent means it’s in the wrong place.
PRODUCT OR POWERRULE HAVE TO HAVE THESAME BASE
QUOTIENT OF POWERRULE HAVE TO HAVE THESAME BASE
POWER OF POWERRULE (x4)³
POWER OF PRODUCTRULE (2x4)⁵
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!