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simplify the expression `{(3x^2)^2(y^4)}/{3y^2}` a. y^2 /3 b. x^4 * y^2 /1 c....

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melissazamora7 | Student, Grade 11 | Honors

Posted September 25, 2012 at 8:33 PM via web

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simplify the expression `{(3x^2)^2(y^4)}/{3y^2}` 

a. y^2 /3

b. x^4 * y^2 /1

c. 3x^2*y^2

d. 3x^4*y^2 <-- i think it is D 


Tagged with expression, math, simplify

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lfryerda | High School Teacher | (Level 2) Educator

Posted September 25, 2012 at 8:43 PM (Answer #1)

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To simplify this expression, we need to use the exponent laws `(ab)^m=a^mb^m` and `a^m/a^n=a^{m-n}` .  This means we get:

`{(3x^2)^2y^4}/{3y^2}`    distribute square into brackets

`={3^2x^4y^4}/{3y^2}`   use division rule for 3 and y

`=3^{2-1}x^4y^{4-2}`   simplify exponents

`=3^1x^4y^2`   don't need the 1 for the exponent


The answer is D  `3x^4y^2` .

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