Solve (3/2)^(42/5)

Evaluate

(\frac{3}{2})^{\frac{42}{5}}

To raise a fraction to a power,raise the numerator and denominator to that power

\frac{3 ^{\frac{42}{5}}}{2 ^{\frac{42}{5}}}

Rewrite the expression

\frac{3 ^{\frac{42}{5}}}{256 5 2 ^{2}}

Rewrite the expression

\frac{6561 5 3 ^{2}}{256 5 2 ^{2}}

Multiply by the Conjugate

\frac{6561 5 3 ^{2} \times 5 2 ^{3}}{256 5 2 ^{2} \times 5 2 ^{3}}

Simplify

\frac{6561 5 3 ^{2} \times 5 8}{256 5 2 ^{2} \times 5 2 ^{3}}

Multiply the numbers

More Steps

\frac{6561 5 72}{256 5 2 ^{2} \times 5 2 ^{3}}

Solution

More Steps

\frac{6561 5 72}{512}

Alternative Form

\approx 30.141619

Calculate the value