Chapter 2 - Real Numbers - Chapter 2 Test: 1

(a) 81 (b) -64 (c) 0.008

Work Step by Step

(a) Following order of operations and considering the exponent, we obtain: $(-3)^{4}=-3\times-3\times-3\times-3=9\times9=81$ (b) Since the exponent does not encompass the negative sign, we obtain: $-2^{6}=-(2)^{6}=-64$ (c) We first transform the decimal into a fraction to make the simplification easier. Then, following order of operations and considering the exponent, we obtain: $(0.2)^{3}=(\frac{2}{10})^{3}=\frac{2^{3}}{10^{3}}=\frac{8}{1000}=0.008$

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