Exam 5: The Real Number System

Simplify and write the answer in exponential notation using positive exponents. $6 ^ { 7 } \cdot 6 ^ { - 4 }$ A) $6 ^ { 3 }$ B) $36 ^ { 3 }$ C) $36 ^ { - 28 }$ D) $6 ^ { - 28 }$

Find the greatest common factor of 14 and 21.

Divide. Write the answer in scientific notation. $\frac { 1.4 \times 10 ^ { - 6 } } { 2 \times 10 ^ { - 3 } }$

Divide. Write the answer in scientific notation. $\frac { 8 \times 10 ^ { 12 } } { 4 \times 10 ^ { 3 } }$

Perform the indicated operations. (82 - 60) + [(-3 × 4) - 36 ÷ 4]

Find the 10th term 2, -4, 8, -16, 32, . . .

Which property of the real numbers is illustrated by the following statement? 17 × 8 = 8 × 17

Find the greatest common factor of 20 and 21.

One grain of a certain pollen weighs about $2 \times 10 ^ { - 5 }$ grams. How many grains are there in a pound of the pollen? (One pound is about 454 grams.) Round to 3 significant digits if necessary. A) $2.27 \times 10 ^ { 7 }$ B) $9.08 \times 10 ^ { 6 }$ C) $2.27 \times 10 ^ { 6 }$ D) $9.08 \times 10 ^ { 5 }$

Evaluate. $3 ^ { - 4 }$ A) $- 81$ B) $- 12$ C) $\frac { 1 } { 81 }$ D) $- \frac { 1 } { 81 }$

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. $2 ^ { 3 } \cdot 2 ^ { 2 }$

Linda and Deepti are walking and jogging on a circular trail. Linda can complete one circuit in 24 minutes, and Deepti can complete the circuit in 16 minutes. If they both start at the same place at the same time, when will they be at the starting place at the same time?

Write 428,000 in scientific notation.

Find the least common multiple of 4 and 20.

Write out the first five terms of the geometric sequence whose first term is 8 and whose common ratio is -4.

Simplify and write the answer in exponential notation using positive exponents. $\frac { 7 ^ { 3 } } { 7 ^ { 9 } }$

Write 0.0039 in scientific notation.

Find the 10th term. 11, 8, 5, 2, -4, . . .

If an object is dropped from a given height $h$ , the time in seconds it takes to reach the ground is given by the formula $t = \sqrt { \frac { 2 h } { 32 } }$ (This formula ignores air resistance.) How long will it take an object to reach the ground when dropped from a 64-foot building? A) $4 \sqrt { 2 }$ seconds B) 2 seconds C) $2 \sqrt { 2 }$ seconds D) 4 seconds