document.write( "Question 716978: (a to the 4th power)to the x power equals a
\n" ); document.write( "what does x equal \n" ); document.write( "

Algebra.Com's Answer #440068 by jsmallt9(3758) $\"\"$ $\"About$

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$\"%28a%5E4%29%5Ex+=+a\"$
\n" ); document.write( "The exponent rule for powers of a power is to multiply the exponents:
\n" ); document.write( " $\"a%5E%284x%29+=+a\"$
\n" ); document.write( "The equation now says that one power of a, $\"a%5E%284x%29\"$ , is equal to another power of a, $\"a%5E1\"$ . The only way this can be true is if the exponents themselves are equal. So:
\n" ); document.write( "4x = 1
\n" ); document.write( "Now we just divide by 4:
\n" ); document.write( "x = 1/4 \n" ); document.write( "

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