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Mathematics 15 Online
Nicole:

http://prntscr.com/lm3sa0

Nicole:

@Vocaloid

Vocaloid:

|dw:1542989256746:dw|

Nicole:

hmm, im thinking D

Vocaloid:

good

Vocaloid:

then for b) |dw:1542989403905:dw|

Vocaloid:

for a fractional exponent, remember the numerator becomes the power and the denominator becomes the root

Nicole:

A is one

Vocaloid:

good and if a is greater than b, then a/b must be greater than 1 so if 3 is raised to an exponent greater than 1, is the end result greater or less than 3?

Nicole:

greater

Vocaloid:

good so first two choices

Nicole:

can u just check these rq? http://prntscr.com/lm3vwp

Vocaloid:

check question 10 the 1/3 exponent applies to the 8 as well

Nicole:

I actually had trouble with that

Vocaloid:

what is 8^(1/3) = ?

Nicole:

2

Vocaloid:

good so the coefficient in front should be 2 not 8

Nicole:

so B?

Vocaloid:

yes

Nicole:

http://prntscr.com/lm3xu1

Vocaloid:

check question 3 again -4sqrt(2x^3y) can only simplify to -4xsqrt(2xy). the 2 has to stay within the radical because it can't be simplified further

Vocaloid:

that being said you can factor the expression from B into one of the other answer choices

Vocaloid:

take 2x^3 * sqrt(2xy) - 4x*sqrt(2xy) and factor out sqrt(2xy).

Vocaloid:

A*B - A*C = A(B-C) factors out A apply this logic to 2x^3 * sqrt(2xy) - 4x*sqrt(2xy) and factor out sqrt(2xy).

Nicole:

confused LOL

Vocaloid:

if you see something like "A*B - A*C" where both terms have some factor A in common, you can remove A from both expressions, and write it outside the parentheses to get A(B-C)

Vocaloid:

notice that both terms in 2x^3 * sqrt(2xy) - 4x*sqrt(2xy) have sqrt(2xy), so you can remove this from both expressions, write it outside the parentheses and get...?

Vocaloid:

1. identify the common factor sqrt(2xy) from 2x^3y * sqrt(2xy) - 4x*sqrt(2xy) 2. remove the factor sqrt(2xy) from both expressions to get 2x^3y - 4x 3. put the expression inside parentheses and write the common factor outside sqrt(2xy) ( 2x^3y - 4x )

Vocaloid:

would recommend reviewing how to factor out a GCF

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