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

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

Evaluate

$$\frac{43}{8}=5.375$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Add 1 and 2 to get 3.

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

Subtract 1 from 3 to get 2.

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

Calculate \frac{3}{2} to the power of 3 and get \frac{27}{8}.

$$2+\frac{27}{8}$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{16}{8}+\frac{27}{8}$$

Since \frac{16}{8} and \frac{27}{8} have the same denominator, add them by adding their numerators.

$$\frac{16+27}{8}$$

Add 16 and 27 to get 43.

$$\frac{43}{8}$$

Factor

$$\frac{43}{2 ^ {3}} = 5\frac{3}{8} = 5.375$$