Solve 25^(1/2) / 64^(1/3) [ 256/625] ^-1/4 [64/125]^-

Question

Calculate the value

\frac{5 ^{11}}{50331648}

Alternative Form

\approx 0.970128

Evaluate

\frac{2 5 ^{\frac{1}{2}}}{6 4 ^{\frac{1}{3}}} \times \frac{( \frac{256}{625} ) ^{- 1}}{4} \times \frac{( \frac{64}{125} ) ^{- 2}}{3}

Divide the terms

More Steps

\frac{2 5 ^{\frac{1}{2}}}{6 4 ^{\frac{1}{3}}} \times \frac{625}{1024} \times \frac{( \frac{64}{125} ) ^{- 2}}{3}

Divide the terms

More Steps

\frac{2 5 ^{\frac{1}{2}}}{6 4 ^{\frac{1}{3}}} \times \frac{625}{1024} \times \frac{15625}{12288}

Multiply the terms

More Steps

\frac{2 5 ^{\frac{5}{2}}}{4096} \times \frac{15625}{12288}

To multiply the fractions,multiply the numerators and denominators separately

\frac{2 5 ^{\frac{5}{2}} \times 15625}{4096 \times 12288}

Multiply the numbers

More Steps

\frac{2 5 ^{\frac{11}{2}}}{4096 \times 12288}

Multiply the numbers

\frac{2 5 ^{\frac{11}{2}}}{50331648}

Solution

More Steps

\frac{5 ^{11}}{50331648}

Alternative Form

\approx 0.970128

Show Solution