( \frac { 5 } { 8 } ) ^ { - 5 } : ( \frac { 5 } { 8 } ) ^ { - 4 } \cdot ( 0,625 ) ^ { 2 } =
Evaluate
0,625
Factor
\frac{5}{2 ^ {3}} = 0.625
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\frac{1}{\frac{5}{8}}\times 0,625^{2}
Rewrite \left(\frac{5}{8}\right)^{-4} as \frac{5}{8}\times \left(\frac{5}{8}\right)^{-5}. Cancel out \left(\frac{5}{8}\right)^{-5} in both numerator and denominator.
1\times \frac{8}{5}\times 0,625^{2}
Divide 1 by \frac{5}{8} by multiplying 1 by the reciprocal of \frac{5}{8}.
\frac{8}{5}\times 0,625^{2}
Multiply 1 and \frac{8}{5} to get \frac{8}{5}.
\frac{8}{5}\times 0,390625
Calculate 0,625 to the power of 2 and get 0,390625.
\frac{5}{8}
Multiply \frac{8}{5} and 0,390625 to get \frac{5}{8}.
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Limits
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