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Mathematics 14 Online
pooja195 (pooja195):

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pooja195 (pooja195):

\[(8ab)^2\times 4a^2\] evaluate

OpenStudy (xapproachesinfinity):

you mean simplify not evaluate?

Nnesha (nnesha):

hint \[\huge\rm (ab)^2 = a^2 \times b^2\]

Nnesha (nnesha):

NOTE! when you multiply variables you should add their exponent \[\huge\rm x^m \times x^n = x^{m+n}\]

OpenStudy (xapproachesinfinity):

excellent @Nnesha :)

OpenStudy (amorfide):

\[(8ab)^{2}= 64a^{2}b^{2}\] \[ 64a^{2}b^{2} \times 4a^{2}=(64 \times 4)a^{2+2}b^{2}\] \[256a^{4}b^{2}\]

pooja195 (pooja195):

im confused =/

Nnesha (nnesha):

first solve parentheses

Nnesha (nnesha):

hint \[\huge\rm (ab)^2 = a^2 \times b^2\] use this hint

pooja195 (pooja195):

\[8^2~a^2~b^2?\]

Nnesha (nnesha):

yep right

pooja195 (pooja195):

\[4 \times~a^9\]

Nnesha (nnesha):

8^2 =64 right

Nnesha (nnesha):

so now you have \[\huge\rm 64a^2b^2 \times 4a^2\]

pooja195 (pooja195):

64 x 4 = 256

Nnesha (nnesha):

yes right so when you multiply same variables you should add their exponent a^2 and a^2 both have same base so when you multiply it you should ADD their exponent

pooja195 (pooja195):

so 256 a^11 b^2

Nnesha (nnesha):

nope a^2 times a^2 = ?? add their exponent

pooja195 (pooja195):

huh??

Nnesha (nnesha):

\[\huge\rm x \times x = x^{1+1}\] both x have "1" exponent so i added 1+1

Nnesha (nnesha):

same with a^2 times a^2

pooja195 (pooja195):

a^4?

Nnesha (nnesha):

yes right :)

pooja195 (pooja195):

now what

Nnesha (nnesha):

done !!

pooja195 (pooja195):

orly! Thanks nnesha <3 :*

Nnesha (nnesha):

my pleasure :)

Nnesha (nnesha):

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