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Mathematics 15 Online
OpenStudy (freemap):

Please Help With My Question?

OpenStudy (freemap):

OpenStudy (freemap):

Simplyfly

Nnesha (nnesha):

here is an example \[\huge\rm (ab)^m= a^m b^m\] so (2y)^3 = ?

OpenStudy (freemap):

sorry, was offline

OpenStudy (freemap):

These are the answer choices

OpenStudy (freemap):

So wouldn't be A?

Nnesha (nnesha):

how?

Nnesha (nnesha):

(2y)^3 how would you simplify this ?

OpenStudy (freemap):

2 x 2 x 2=8

Nnesha (nnesha):

yes right 2 to the 3rd power and y to the 3rd power then multiply the same base when we multiply same bases we should add their exponents\[\huge\rm x^m \times x^n=x^{m+n}\]

Nnesha (nnesha):

let me know what you get

OpenStudy (freemap):

2^3 x y^3= 2y^8+3=11??

Nnesha (nnesha):

y^8 ??

Nnesha (nnesha):

\[\huge\rm (2y)^3 \times y^{-1}= 2^3y^3 \times y^{-1}\]

Nnesha (nnesha):

now multiply y^3 times y^{-1}

OpenStudy (freemap):

-1

OpenStudy (freemap):

-1 x -1 x -1

Nnesha (nnesha):

no apply the exponent rule when multiply same base we should add exponnets

OpenStudy (freemap):

? I'm sorry 8 x -1=7x x -1

Nnesha (nnesha):

no just at the exponnets \[\huge\rm 2^3\color{ReD}{y}^\color{blue}{3} \times \color{ReD}{y}^\color{blue}{-1}\] the base y is same so you can `add` their exponents

OpenStudy (freemap):

-9

Nnesha (nnesha):

how did you get 9 ?

OpenStudy (freemap):

3 x 3 x -1=-9 just the exponets

Nnesha (nnesha):

well first of all bases should be the `SAME` 2nd you should `ADD` them not multiply

Nnesha (nnesha):

2 and y are not the same bases

Nnesha (nnesha):

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