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Mathematics 6 Online
OpenStudy (anonymous):

Symbolize with Expressions

OpenStudy (anonymous):

OpenStudy (phi):

the 1 /3 exponent means take the cube root of the stuff inside the parens can you rule out any of the choices?

OpenStudy (anonymous):

B and D

OpenStudy (phi):

B and D are *possible* they both say cube root of (stuff)

OpenStudy (phi):

now look at 1.08 m can you change 1.08 to a percent ?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

108% which s C

OpenStudy (phi):

it is 108% , but it's not choice C inside the parens we have 108% of m we then take the cube root of that: cube root of ( 108% of m)

OpenStudy (phi):

C means 108% of cube root of m, written as \[ 1.08 (m)^\frac{1}{3} \]

OpenStudy (anonymous):

oh so its the other way around which means not C but nether the less B

OpenStudy (phi):

it is B. B says cube root of (108% of m) to show cube root we write a little 1 / 3 in the upper right \[ (108\% \ m)^\frac{1}{3} \]

OpenStudy (phi):

or writing 108% as 1.08 \[ (1.08m)^\frac{1}{3} \]

OpenStudy (anonymous):

wow i actually understand that thank you so much do you think you're available to help me with some more

OpenStudy (phi):

one more

OpenStudy (anonymous):

OpenStudy (anonymous):

i believe ts either B or C

OpenStudy (phi):

It is definitely square root (not square) the question is , what are we "taking the square root" of ? do we take the square root of 9.64p or just the p ? do you remember order of operations: 9.64 times p ^ 1 /2

OpenStudy (anonymous):

so my answer choices are right so far

OpenStudy (phi):

yes. But now you need to remember order of operations.

OpenStudy (anonymous):

Pemdas

OpenStudy (anonymous):

my thought is C but not sure whether its right or not

OpenStudy (phi):

PEMDAS means Parens first. we have no parens E exponents. we have an exponent. we do that first M multiply we have a multiply, we do that next. so 9.64 times p ^ 1 /2 we do the p ^ 1 /2 first (exponents first, right?)

OpenStudy (phi):

now say in words p ^ 1 /2 that is p to the 1 /2 power. another way to say it is "square root of p"

OpenStudy (phi):

so in words, 9.64 times square root of p

OpenStudy (anonymous):

oh so its B

OpenStudy (phi):

another way to say "times" or "multiply" is say product (why so many ways to say the same thing?... who knows?) so product of 9.64 and square root of p

OpenStudy (phi):

yes, B.

OpenStudy (anonymous):

thank you

OpenStudy (phi):

yw

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