Scientific Notation and Exponent Laws and Estimating Imperfect Squares

Which expression is equivalent to 10^-2 ÷ 10^-14 ?

• 10⁷

• 10¹²

• 10¹⁶

• 10²⁸

Which expression is equivalent to the picture?

• 5⁶ / 7²

• 5⁶ / 7

• 5¹⁰ / 7

• 5¹⁰ / 7²

What is the simplified form of the expression below?

(2²)⁴ x 2^-5

• 2

• 4

• 2³

• 4³

Which expression is equivalent to 2x^-2y^-4 ?

• 
• 
• 
• 

Which of these is equivalent to the image?

• 2^-19

• 1 / 2^7`

• 1/2

• 2³

Which numerical expression is equivalent to the image?

• 4¹²

• 4¹³

• 4¹² x 3

• 4¹³ x 3

Which expression is equivalent to the image?

• 1 / 3¹⁰

• 1 / 3⁶

• 3²

• 3⁴

The distance from Earth to the Sun is approximately 9 x 10⁷ miles. The distance from Earth to the moon is approximately 2 x 10⁵ miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun?

• 18

• 45

• 222

• 450

A small paper clip weighs about 0.0005 kilogram. What is 0.0005 written in scientific notation?

• 5 x 10^-4

• 5 x 10^-3

• 5 x 10³

• 5 x 10⁴

The mass of the Earth is 3 x 10^-6 times the mass of the Sun. If the mass of the Sun is 2 x 10³⁰ kilograms, what is the mass of the Earth, in kilograms?

• 6 x 10³⁶

• 6 x 10²⁴

• 6 x 10^-5

• 6 x 10^-180