Question #2c178

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Answer 1 · 2017-12-13T19:14:35

#(s^4q^5)/r#

#(q^-1r^-1s^-5/r^-2sq^-4)^-1#

Put all the values outside the fraction, inside the fraction.

#((q^-1r^-1s^-5sq^-4)/r^-2)^-1#

Something to the power or -1 is the reciprocal of itself.

#r^-2/(q^-1r^-1s^-5sq^-4)#

Subtract like terms from numerator to denominator

#r^-1/(q^-1s^-5sq^-4)#

Multiply like terms into one power

#r^-1/(q^-5s^-4)#

Turn the expression to the power of -1 to get rid of most negative symbols

#(r/(q^5s^4))^-1#

When a value is to the power of -1, it becomes a reciprocal

#(s^4q^5)/r#