Question:
Verify that the expression "[(9/13 * -11/17)^-8]=[(13/9 * 17/-11)^8]" with (law if possible).
Answer:
We know that
x * (1/x) = x/x = 1
Now, given
[(9/13 * -11/17)-8 ] = [(13/9 * 17/-11)8]
=> {(-9*11)/(13*17)}-8 = {(13*17/(-9*11)}8
=> {-99/221}-8 = {221/(-99)}8
=> {-99/221}-8 = {-221/99}8
=> {99/221}-8 = {221/99}8
=> 1/{99/221}8 = {221/99}8
=> 1 = {99/221}8 * {221/99}8
=> 1 = {(99/221) * (221/99)}8
=> 1 = {(99*221)/(221*99)}8
=> 1 = 18
=> 1 = 1
Hence proved.
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