document.write( "Question 182059: I can not figure out the following equation:\r
\n" ); document.write( "\n" ); document.write( "(z+2)^ -2/3 = 3\r
\n" ); document.write( "\n" ); document.write( "solving for z.\r
\n" ); document.write( "\n" ); document.write( "(z+2) raised to the -2/3 power equals 3. \n" ); document.write( "

Algebra.Com's Answer #136651 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for z:
\n" ); document.write( " $\"%28z%2B2%29%5E%28-2%2F3%29+=+3\"$ Write the left side as a positive exponent:
\n" ); document.write( " $\"1%2F%28z%2B2%29%5E%282%2F3%29+=+3\"$ Multiply both sides by $\"z%2B2%29%5E%282%2F3%29\"$
\n" ); document.write( " $\"1+=+3%28z%2B2%29%5E%282%2F3%29\"$ Divide both sides by 3.
\n" ); document.write( " $\"1%2F3+=+%28z%2B2%29%5E%282%2F3%29\"$ Now raise both sides to the $\"3%2F2\"$ power.
\n" ); document.write( " $\"%281%2F3%29%5E%283%2F2%29+=+%28%28z%2B2%29%5E%282%2F3%29%29%5E%283%2F2%29\"$ Multiply the exponents on the right side.
\n" ); document.write( " $\"1%2F%283%29%5E%283%2F2%29+=+%28z%2B2%29\"$ Simplify the left side.
\n" ); document.write( " $\"1%2F3sqrt%283%29+=+z%2B2\"$ Finally, subtract 2 from both sides.
\n" ); document.write( " $\"z+=+%281%2F3sqrt%283%29%29-2\"$ and this can also be written as:
\n" ); document.write( " $\"highlight%28z+=+%281-6sqrt%283%29%29%2F3sqrt%283%29%29\"$ \n" ); document.write( "

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