Category: Math 11

Fractional exponents

• on question that i did wrong this week was turning a fraction exponent into a radical. I thought that to simplify a Fractional exponent you had to divide and turn it into a decimal but when I finally figured it out, it was a lot easier to answer questions

The steps to turn a fractional exponent into a radical are the following:

• step 1: Following the rule “Flower power”, The denominator will become your index and the numerator will become your exponent while your base will become the radicand
• step 2: Lay out your radical
• step 3: simplify if possible

ex:

• My biggest mistake of the week was thinking is was easier to use “normal” number to convert a radical into a mized radical rather than using perfect numbers.

 

The way I learned the correct way is the following

step 1: take your radical and factor it so you can find the numbers that multiply to the radical. Preferably use perfect numbers

step 2: bring the perfect number outside of the radical

step 3: write out the equation

Ex:

Number types

All the number types that I learned this week are:

• Rational #

Includes (1.25, fractions, 50%, perfect squares, etc..)

• whole #

Includes ( 0, 1, 2, 3…)

• Real #

includes everything

• Integers

Includes (-3, -2, 0, 1, 2…)

• Natural #

Includes (1,2,3,4,5…)

• Irrational #

No fractions

Includes (imperfect squares, pie, 0.34589302….)

 

Ex:

14 is a real, natural, whole, integer, and rational number but -14 is a real, integer and ration number.