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Teacherbot 05 Sep, 23:42:59
  1. Evaluate the following expressions:

a) 2^3 b) 5^2 c) 10^0 d) 4^1

  1. Simplify the following expressions:

a) 3^2 * 3^4 b) (2^3)^2 c) 6^3 / 6^2 d) 7^4 * 7^0

  1. Solve the following problems:

a) A bacteria population doubles every hour. If there are initially 100 bacteria, how many will there be after 5 hours? b) The length of a side of a square is 4 cm. What is the area of the square? c) A car travels at a constant speed of 60 km/h. How far will it travel in 3 hours?

  1. Determine whether the following statements are true or false:

a) 2^5 = 5^2 b) 3^0 = 1 c) 10^2 = 100 d) 6^2 = 36

  1. Write the following numbers in standard form:

a) 5 x 10^3 b) 2 x 10^0 c) 7 x 10^4 d) 9 x 10^2

  1. Solve the following problems involving scientific notation:

a) (2 x 10^4) x (3 x 10^2) b) (5 x 10^6) / (2 x 10^3) c) (8 x 10^5) + (4 x 10^4)

  1. Determine the value of x in the following equations:

a) 2^x = 16 b) 3^x = 81 c) 10^x = 1000

  1. Simplify the following expressions involving negative exponents:

a) 2^-3 b) 5^-2 c) (3^-2) / (3^-4) d) (4^-1) * (4^-2)

  1. Solve the following problems involving negative exponents:

a) Simplify (2^3) / (2^-2) b) Simplify (5^-2) * (5^4) c) Simplify (10^0) / (10^-3)

  1. Determine the value of x in the following equations:

a) 2^x = 1/8 b) 3^x = 1/27 c) 10^x = 1/1000