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Mathematics 19 Online
OpenStudy (faolan):

Simplify (3a^2)^3

OpenStudy (faolan):

Do i square the 3 in parenthesis or..... what do i do?

Nnesha (nnesha):

\[\huge\rm (x^m)^n= x^{m \times n}\] exponent rule

Nnesha (nnesha):

bur remember (ab)^2 is same as a^2 and b^2

OpenStudy (faolan):

so 3a^6

Nnesha (nnesha):

\(\color{blue}{\text{Originally Posted by}}\) @Nnesha bur remember (ab)^2 is same as a^2 and b^2 \(\color{blue}{\text{End of Quote}}\) hint^

Nnesha (nnesha):

(ab)^2 means both a and b raising to the 2nd power

OpenStudy (faolan):

3a^6 then... 729a? or am i doing it wrong

OpenStudy (michele_laino):

hint: \[\Large {\left( {3{a^2}} \right)^3} = {3^{1 \times 3}}{a^{2 \times 3}} = ...?\]

Nnesha (nnesha):

\[\huge\rm (3a^2)^3=(3)^3 (a^2)^3\] 3 and a^2 both raised to the 3rd power

Nnesha (nnesha):

that was an example \[\rm (ab)^2 = a^2b^2\]

OpenStudy (faolan):

got it! Thanks!

Nnesha (nnesha):

my pleasure :)

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