Solve (-0,3)^2*(3/2)^5

$$( - 0,3 ) ^ { 2 } \cdot ( \frac { 3 } { 2 } ) ^ { 5 }$$

Evaluate

$$0,6834375$$

Solution Steps

Calculate -0,3 to the power of 2 and get 0,09.

$$0,09\times \left(\frac{3}{2}\right)^{5}$$

Calculate \frac{3}{2} to the power of 5 and get \frac{243}{32}.

$$0,09\times \frac{243}{32}$$

Convert decimal number 0,09 to fraction \frac{9}{100}.

$$\frac{9}{100}\times \frac{243}{32}$$

Multiply \frac{9}{100} times \frac{243}{32} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 243}{100\times 32}$$

Do the multiplications in the fraction \frac{9\times 243}{100\times 32}.

$$\frac{2187}{3200}$$

Factor

$$\frac{3 ^ {7}}{2 ^ {7} \cdot 5 ^ {2}} = 0.6834375$$