Question

10 - 12. evaluate each power or expression. 10. (1/4)^3 11. 0.9^2 12. 1.5×10^4

Explanation:

Step1: Evaluate $(\frac{1}{4})^{-3}$

Use the negative - exponent rule $a^{-n}=\frac{1}{a^{n}}$, so $(\frac{1}{4})^{-3}=\frac{1}{(\frac{1}{4})^{3}}$. And $(\frac{1}{4})^{3}=\frac{1^{3}}{4^{3}}=\frac{1}{64}$, then $\frac{1}{(\frac{1}{4})^{3}} = 64$.

Step2: Evaluate $0.9^{2}$

$0.9^{2}=0.9\times0.9 = 0.81$.

Step3: Evaluate $1.5\times10^{4}$

$10^{4}=10000$, then $1.5\times10^{4}=1.5\times10000 = 15000$.

Answer:

1. 64
2. 0.81
3. 15000