GED Math 1.3 Rational Numbers

GED Math 1.3 Rational Numbers. Which answer best fills in the blank?

AlgebraSquare Roots
Basic OperationsExponents
Roots
GED MathRational Numbers
LanguageEnglish Language
Number and QuantityUse properties of rational and irrational numbers
Skill Area 1Rational Numbers (Quantitative)

Transcript

00:24

got a fifty fifty shot here The only choices in

00:27

the drop down our square and cube You know we

00:30

could flip a coin but well we wore our skinny

00:33

jeans today and bad things happen All right This question

00:36

wants to know is sixty four to the two thirds

00:39

power equivalent to the square root of sixty four squared

00:42

or the cube root of sixty four squared We hear

00:46

of you always thinking times right All right So let's

00:49

consider the first option What's the square root of sixty

00:52

four squared isn't just sixty four Yeah go in sixty

00:56

four can't be the same Is sixty four to the

00:58

two thirds power so it looks like square can be

01:02

the right answer That leaves just one option cube but

01:06

because we don't like to settle for the process of

01:08

elimination Well let's just see why that is well when

01:11

dealing with fractional exponents the numerator is the power of

01:15

the power and the denominator is the route I don't

01:19

have a roof All right Which is why the square

01:22

root of sixty four squared comes out to just sixty

01:24

for because it's the same as sixty four to the

01:27

to over to power which is just one or sixty

01:30

four to the first and anything to the first power

01:33

is just itself It's like me find one So when

01:36

we see sixty four to the two thirds power it's

01:39

the same as saying the cube root of sixty four

01:42

square that free goes under work And yeah our answer

01:47

is definitely cute Unless the question is why can we 00:01:50.336 --> [endTime] no longer feel our legs how it hurts