bca

bc /a

• • 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

–

x3/4

x34

• • 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) –

x58

x5 /8

• When multiplying exponents – you add them• When taking exponents to another power - you multiply

them• When taking a product to a power - you distribute the

exponent to each variable• 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

When you divide exponents - you subtract the exponent in the numerator with the exponent in the denominatorWhen you take a fraction to a power - you distribute the exponent to both the numerator and the denominator the denominator

x2y4z65 =

x2 /5 • y4 /5 • z6 /5

Convert the radical to 3 separate exponents

(this is the farthest you can go because you cannot multiply different bases)

y2 /5( )3/4

=

y6 /20 =

y3/10 =

y310

Distribute exponential fraction to the exponential fraction inside of the parenthesis

simplify

turn the rational exponent into a radical (power/root)

YOUR DONE :-)

233 =

(23)1/3 =

(23/1)1/3 =

21 =2

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