Simplify the expression 2500 23 Write the number in scienti

Simplify the expression. 2(-50)^0 - 2^-3 Write the number in scientific notation. 584,000,000 Write the number in scientific notation. 0.00029 Write the number in standard form. 5.5 times 10^7 Write the number in standard form. The probability of winning the Powerball, multistate lottery when purchasing one ticket is about 8.297 times 10^-9 Multiply and write the answer in scientific notation. (4.2 times 10^-5) (6.6 times 10^-7)

Solution

20. 2(-50)⁰-2^-3=2*1–1/ 2³ =2-1/8 = 15/8 (as a⁰ =1 regardless of value of a other than 0, and a^-x =1/a^x)

21. 584,000,000 = 5.84 * 10⁸

22. 0.00029 = 2.9 *10^-6

23. 5.5 *10⁷= 55,000,000

24. 8.297*10^-9 = 0.000000008297

25. (4.2*10^-5)(6.6*10^-7) = (4.2*6.6)*10^-12 = 27.72 *10^-12= 2.772*10^-11