Exponents

High School Math 1 · Unit 1 · laws-of-exponents

laws-of-exponents

Name ______________________________Date ______________

1.
Evaluate $8^{2/3}$ .
Answer: ______________
2.
Simplify $\dfrac{12x^{-3}y^{4}}{4x^{2}y^{-1}}$ . Write the result with positive exponents only.
Answer: ______________
3.
Light travels at $3 \times 10^{8}$ metres per second. The Sun is $1.5 \times 10^{11}$ metres from Earth. How many seconds does sunlight take to reach Earth?
Answer: ______________
4.
Which is the value of $\left(2^{3} \cdot 2^{-5}\right)^{2}$ ?
1. (A)
  $-16$
2. (B)
  $1$
3. (C)
  $\dfrac{1}{16}$
4. (D)
  $2^{-30}$
5.
If $\dfrac{4^{10} \cdot 8^{5}}{16^{6}} = 2^{n}$ , what is $n$ ?
1. (A)
  $5$
2. (B)
  $9$
3. (C)
  $10$
4. (D)
  $11$
5. (E)
  $35$