Solve -1^3+2/2{left(1^3+1right)^frac{3{2}}}

$$\frac{ - { 1 }^{ 3 } +2 }{ 2 { \left( { 1 }^{ 3 } +1 \right) }^{ \frac{ 3 }{ 2 } } }$$

Evaluate

$$\frac{\sqrt{2}}{8}\approx 0.176776695$$

Steps for Raising Power to Another Power

Calculate 1 to the power of 3 and get 1.

$$\frac{-1+2}{2\left(1^{3}+1\right)^{\frac{3}{2}}}$$

Add -1 and 2 to get 1.

$$\frac{1}{2\left(1^{3}+1\right)^{\frac{3}{2}}}$$

Calculate 1 to the power of 3 and get 1.

$$\frac{1}{2\left(1+1\right)^{\frac{3}{2}}}$$

Add 1 and 1 to get 2.

$$\frac{1}{2\times 2^{\frac{3}{2}}}$$

To multiply powers of the same base, add their exponents. Add 1 and \frac{3}{2} to get \frac{5}{2}.

$$\frac{1}{2^{\frac{5}{2}}}$$

To raise a power to another power, multiply the exponents.

$$2^{\frac{5}{2}\left(-1\right)}$$

Multiply \frac{5}{2} times -1.

$$2^{-\frac{5}{2}}$$

Raise 2 to the power -\frac{5}{2}.

$$\frac{\sqrt{2}}{8}$$