Estimate With Powers of 10 Practice Test

A smartphone screen has approximately $$2.1 \times 10^{6}$$ pixels, and each pixel can display about $$1.7 \times 10^{7}$$ different colors. A high-resolution computer monitor has $$8.3 \times 10^{6}$$ pixels, with each pixel displaying approximately $$1.7 \times 10^{7}$$ colors. About how many smartphone screens would be needed to display the same total number of possible color combinations as one computer monitor?

A pharmaceutical company produces pills that each contain $$2.5 \times 10^{-4}$$ grams of active ingredient. A patient needs $$1.5 \times 10^{-2}$$ grams of this ingredient daily. The company packages pills in bottles containing $$9.0 \times 10^{1}$$ pills each. If a patient follows the prescribed dosage, approximately how many bottles will they need for a 30-day supply?