Problem: (.2)3(.02)2=\dfrac{(.2)^{3}}{(.02)^{2}}=(.02)2(.2)3=
Answer Choices:
A. .2.2.2 B. 222 C. 101010 D. 151515 E. 202020
Solution:
(.2)3(.02)2=.008.0004=804=20.\dfrac{(.2)^{3}}{(.02)^{2}}=\dfrac{.008}{.0004}=\dfrac{80}{4}=20. (.02)2(.2)3=.0004.008=480=20.
OR\textbf{OR} OR
.2.02×.2.02×.2=10×10×.2=20.\dfrac{.2}{.02} \times \dfrac{.2}{.02} \times .2=10 \times 10 \times .2=20. .02.2×.02.2×.2=10×10×.2=20.
Answer: E\boxed{E}E.
The problems on this page are the property of the MAA's American Mathematics Competitions