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Mathematics 15 Online
OpenStudy (anonymous):

Help please

OpenStudy (anonymous):

\[(2^{0}3^{-2})\]

OpenStudy (anonymous):

wait wait scractch that

OpenStudy (anonymous):

\[(2^{0}3^{-2})^{-2}\]

OpenStudy (anonymous):

2^0 is 1

OpenStudy (shane_b):

\[2^0=1\] so you can ignore that term. Now multiply the exponents for the second part:\[(3^{-2})^-2=3^{-4}=\frac{1}{3^4}\]

OpenStudy (anonymous):

use the laws of exponents

OpenStudy (shane_b):

Right, one of the exponent rules says:\[(a^x)^y=a^{xy}\]

OpenStudy (anonymous):

so the -4 must be positive, right?

OpenStudy (shane_b):

Yea...silly mistake on my part.

OpenStudy (shane_b):

\[(3^{-2})^{-2}=3^4\]

OpenStudy (anonymous):

thats ok,

OpenStudy (shane_b):

Does that (revised) answer make sense @sakigirl ?

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