Retake Review: Exponent Properties & Scientific Notation

Retake Review: Exponents Properties & Scientific Notation

This time you're gonna ace that test!

Multiple Choice

(5²)³

^{Hint: Use Power of a Power Property}

• 5⁶
• 5⁵
• 5⁷
• 5⁸

Multiple Choice

Simplify the expression.

Hint: Use Quotient of Power Property

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Simplify:

$$7^0$$

Hint: Use Zero Exponent Property

• 1

• 7

• 0

• 15

Multiple Choice

Which expression is equivalent to $$3^{-5}$$ ?

Hint: Use Negative Exponent Property

• $$\frac{3^5}{3^0}$$

• $$\left(3^5\right)^0$$

• $$\frac{1}{3^5}$$

• $$3^5\cdot3^{-1}$$

Math Response

The length of a cell is 0.000909 mm. Which of the following is the best estimate of the length written using scientific notation?

Type answer here

Correct Answer: 9.09\times10^{-4}

Deg^°

Rad

Math Response

Scientists discovered fossils in Australia that are about 3,500,000 years old.

Write this number in scientific notation

Type answer here

Correct Answer: 3.5\times10^6

Deg^°

Rad

Fill in the Blanks

How would you write 4.3756 x 10⁴ in standard form?

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Multiple Choice

The average estimated distance Mercury is from the sun is $$2\cdot10^2$$ m. The average estimated distance Neptune is from the sun is $$8\cdot10^{-2}$$ m. About how many times farther is Neptune from the sun than Mercury?

Hint: Use Dividing Numbers in Scientific Notation

• $$0.25\cdot10^8$$

• $$2.5\cdot10^3$$

• $$2.5\cdot10^{10}$$

• $$0.25\cdot10^{-12}$$

Multiple Choice

A geology class is studying a sample of rock and a sample of dry sponge. The rock sample has a mass of 1×10¹ kg. The dry sponge sample has a mass of 2×10^-3 kg. Which sample has a greater mass? How many times greater?

• The rock sample has a greater mass and it is 500 times greater.

• The dry sponge sample has a greater mass and it is 500 times greater.

• The rock sample has a greater mass and it is 200000 times greater.
• The dry sponge sample has a greater mass and it is 200000 times greater.

Math Response

A river starts by flowing south for about $$1.1\cdot10^7$$ ft. Then it flows southeast for about $$3.2\cdot10^6$$ ft. What is the length of the river? Write your answer using scientific notation.

Hint: Use Adding in Scientific Notation to Solve

Type answer here

Correct Answer: 1.42\times10^7

Deg^°

Rad

Multiple Choice

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles? 

• 4.3092 x 10¹
• 3.9098 x 10⁷
• 3.9098 x 10⁸
• 5.7678 x 10⁸

Multiple Choice

A TV show had 3.5 × 10⁶ viewers for their first episode and 8.5 × 10⁶ viewers for their second episode. How many viewers did they have overall?

• 1.2 x 10⁷

• 1.2 x 10^-7

• 1.2 x 10⁶

• 1.2 x 10^-6

Multiple Choice

Write the answer in scientific notation.
4.1 x 10⁵ +   5.5 x 10⁶  =

• 5.91 x 10⁶
• 9.6 x 10⁵
• 9.6 x 10¹¹
• 4.65 x 10⁵

Open Ended

Besides doing this review activity, how are you going to prepare for this retake?