Exponents and Scientific Notation Review

Complete the sentences about exponent rules below. 1. When simplifying exponents you must make sure that the bases are the same before using any exponent rule. 2. When using the product rule you will add the exponents.3. When using the quotient rule you will subtract the exponents.4. If you have a negative exponent in the denominator, you will move the base to the numerator and make the exponent positive.5. Any base to the zero power is equal to one except zero, which is undefined. Sort each expression into the correct rule that was used to simplify the expression. Power Rule Product Rule Zero Power Quotient Rule Negative Exponent Rule Simplify each expression and match with the correct answer. 192 256 216 8 4 Write each number below in correct scientific notation form. 1. 2,340,000 is equal to 2.34 x 10^62. 0.0000305 is equal to 3.05 x 10^ -53. 7,833,900,000 is equal to 7.8339 x 10^ 94. 0.00028005 is equal to 2.8005 x 10^ -4 Fill in the Blanks below with the correct standard form of each scientific notation. (Write the number with commas in the correct location Example 1,000,000and decimals begin with 0.0 Example 0.00065) 1. 2.04 x 105equals 204,0002. 1.357 x 108 equals 135,700,0003. 6.0008 x 10-4equals 0.000600084. 7.02 x 10-8 equals 0.0000000702 Order the following numbers from Greatest to Least. First Second Forth Third (2.3 x 105)(1.4 x 108) 8.05 x 10-12 ÷ 2.3 x 10-8 The half-life of uranium–238 is 4.5 × 10^9 years. The half-life of uranium-234 is 2.5 × 10^5 years. How many times greater is the half-life of uranium-238 than that of uranium-234?The Answer is 1.8 x 10^ 4 At a storage warehouse, each crate weighs 1.5 × 10^2 pounds. If there are 6 × 10^3 crates, what is their combined weight?The Answer is 9 x 10^ 5