Answer
0.173
Work Step by Step
Following order of operations, we first consider exponents. We then create common denominators in order to simplify the fractions. Now, we consider addition and subtraction in the numerator and the denominator. Finally, we turn the fraction into a decimal:
$(0.2)^{2}-(0.3)^{3}+(0.4)^{2}$
=$(\frac{2}{10})^{2}-(\frac{3}{10})^{3}+(\frac{4}{10})^{2}$
=$\frac{4}{100}-\frac{27}{1000}+\frac{16}{100}$
=$\frac{4(10)-27(1)+16(10)}{1000}$
=$\frac{40-27+160}{1000}$
=$\frac{173}{1000}$
=$0.173$
