Simplify:

(-8)^-2*5^-3*(-7)^-4*2^4/(-5)^-7*28^-3*16^4

Asked by Cl_narayan | 13th Jun, 2019, 04:58: PM

Expert Answer:

open parentheses negative 8 close parentheses to the power of negative 2 end exponent cross times 5 to the power of negative 3 end exponent cross times open parentheses negative 7 close parentheses to the power of negative 4 end exponent cross times 2 to the power of 4 over open parentheses negative 5 close parentheses to the power of negative 7 end exponent cross times 28 to the power of negative 3 end exponent cross times 16 to the power of 4
equals fraction numerator 2 to the power of 4 cross times 16 to the power of 4 cross times open parentheses negative 5 close parentheses to the power of 7 over denominator open parentheses negative 8 close parentheses squared cross times 5 cubed cross times open parentheses negative 7 close parentheses to the power of 4 cross times 28 cubed end fraction
equals fraction numerator 2 to the power of 4 cross times 16 to the power of 4 cross times negative open parentheses 5 close parentheses to the power of 7 over denominator open parentheses 8 close parentheses squared cross times 5 cubed cross times open parentheses negative 7 close parentheses to the power of 4 cross times 28 cubed end fraction
equals fraction numerator negative 16 squared cross times open parentheses 5 close parentheses to the power of 4 over denominator 7 to the power of 6 end fraction

Answered by Arun | 15th Jun, 2019, 09:02: AM