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(k^(1/8))^(-15)/(k^7)^(1/2)
\n" ); document.write( "According to the the order of operations (aka PENDAS or GEMDAS) we should start with exponents. In both the numerator and denominator we have a power of a power. The rule for this is to multiply the exponents:
\n" ); document.write( "k^(-15/8)/k^(7/2)
\n" ); document.write( "What remains is a division. The rule for this is to subtract the exponents:
\n" ); document.write( "k^(-15/8)-(7/2)
\n" ); document.write( "As always, subtracting fractions requires the that the denominators be the same:
\n" ); document.write( "k^(-15/8)-(4/4)(7/2)
\n" ); document.write( "k^(-15/8)-(28/8)
\n" ); document.write( "Subtracting:
\n" ); document.write( "k^(-43/8)
\n" ); document.write( "This should be an acceptable answer. But sometimes answers with positive exponents are preferred. If so, then:
\n" ); document.write( "1/k^(43/8) \n" ); document.write( "