document.write( "Question 198436: i dont understand how the fractional exponets work for example in the book theey have an example that looks like... 2(x-2)2/3=50 and the steps goes like this 2(x-2)2/3=50 (x-2)2/3=25 [(X-2)2/3]3/2=25 3/2 /x-2/1=25 3/2 x-2=125 but idk how u get 125? and the problem i worked was 2(x+4) 3/2 = 54 and my teach. thght us to do it like this [2(x+4)3/2]2=(54)2 2(x+3)=2916 2(+3)3/2=54
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\n" ); document.write( " 2 2 =
\n" ); document.write( "(x+3)=27 and now i dont know if im on the right path or what the next step is im soo confused my teach. shows me different fromthe book but when i go to do my h.w i cant ask her cause she not there all i have is the book and she hasnt taught us from the book she thought us from what she knows. so please HELP ME!!! its on page 386 ex 2 i need help on this whole section really! \n" ); document.write( "

Algebra.Com's Answer #148943 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
When you see an expression such as $\"x%5E%282%2F3%29\"$ , it means that you must square the x (that's the what the 2 in the numerator of the exponent means) squared then you take the cube root of the result (that's what the 3 in the denominator indicates).
\n" ); document.write( "Now if you see $\"x%5E%282%2F3%29+=+25\"$ you can find x by raising both sides to the power that's the inverse of the given exponent $\"2%2F3\"$ , like this:
\n" ); document.write( " $\"%28x%5E%282%2F3%29%29%5E%283%2F2%29+=+%2850%29%5E%283%2F2%29\"$ On the left side, you have to multiply the exponents to get an exponent of 1 $\"%28x%5E%282%2F3%29%29%5E%283%2F2%29+=+x%5E%28%282%2F3%29%2A%283%2F2%29%29\"$ = $\"x%5E1+=+x\"$
\n" ); document.write( "So now you have:
\n" ); document.write( " $\"x+=+25%5E%283%2F2%29\"$ So you now cube the 25 $\"25%5E3+=+15625\"$ and then take the square root of 15625 $\"sqrt%2815625%29+=+125\"$ and so...
\n" ); document.write( " $\"x+=+125\"$
\n" ); document.write( "Now let's look at your problem:\r
\n" ); document.write( "\n" ); document.write( " $\"2%28x-2%29%5E%282%2F3%29+=+50\"$ Divide both sides by 2.
\n" ); document.write( " $\"%28x-2%29%5E%282%2F3%29+=+25\"$ Now raise both sides to the power $\"3%2F2\"$
\n" ); document.write( " $\"%28%28x-2%29%5E%282%2F3%29%29%5E%283%2F2%29+=+%2825%29%5E%283%2F2%29\"$ Multiply the exponents on the left side.
\n" ); document.write( " $\"%28x-2%29+=+sqrt%2825%5E3%29\"$
\n" ); document.write( " $\"x-2+=+sqrt%2815625%29\"$
\n" ); document.write( " $\"x-2+=+125\"$ Add 2 to both sides.
\n" ); document.write( " $\"highlight%28x+=+127%29\"$ \n" ); document.write( "

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