1st - Determine which part of the exponent is the power and which is the root : remember - POWER/ROOT –So, in this example”3” is the power & “4” is the root 2nd - Now you are ready to write your radical –

1st - Determine which part of the radical is the power and which is the root –So, in this example”5” is the power & “8” is the root 2nd - Now you are ready to write your rational exponent – (power/root) –

1)When multiplying exponents – you add them 2)When taking exponents to another power - you multiply them 3)When taking a product to a power - you distribute the exponent to each variable 4)When you have a negative exponent - you take its reciprocal - When the exponent is 0, whatever number is being taken to the zero power is 1 5)When you divide exponents - you subtract the exponent in the numerator with the exponent in the denominator 6)When you take a fraction to a power - you distribute the exponent to both the numerator and the denominator the denominator (numbers correspond w. the previous slide)

Convert the radical to 3 separate exponents (this is the farthest you can go because you cannot multiply different bases)

Distribute exponential fraction to the exponential fraction inside of the parenthesis simplify turn the rational exponent into a radical (power/root) YOUR DONE :-)

Convert the radical to an exponent Change the exponent in the parenthesis to a exponential fraction Multiply the exponential fractions The product of the exponents is 1, which means the base remains the same