5^(-6)*(-2)^3/20*5^(-4)

Asked by sparshlondhe96.8spicertl | 24th May, 2020, 05:43: PM

Expert Answer:

begin mathsize 16px style fraction numerator 5 blank to the power of negative 6 end exponent cross times negative 2 cubed over denominator 20 cross times 5 to the power of negative 4 end exponent end fraction
equals space fraction numerator 5 to the power of negative 6 end exponent cross times negative 2 cubed over denominator 5 cross times 2 squared cross times 5 to the power of negative 4 end exponent end fraction
equals fraction numerator 5 to the power of negative 6 end exponent cross times left parenthesis negative 1 right parenthesis cubed cross times left parenthesis 2 right parenthesis cubed space over denominator 5 to the power of 1 minus 4 end exponent cross times 2 squared end fraction
equals 5 to the power of negative 6 minus left parenthesis negative 3 right parenthesis end exponent cross times space minus 1 cross times 2 to the power of 3 minus 2 end exponent
equals 5 to the power of negative 3 end exponent cross times 2 cross times negative 1
equals fraction numerator negative 2 over denominator negative 125 end fraction
equals 2 over 125 end style

Answered by Yasmeen Khan | 24th May, 2020, 09:41: PM