Properties of Exponents Review

Properties of Exponents Review

by Belle Goscha

​Remember these basic properties:

Multiple Choice

$$\left(3x^4\right)^2=?$$  

• $$6x^6$$  

• $$9x^8$$  

• $$9x^6$$  

• $$6x^8$$  

Multiple Choice

(5²)³=?

• 5⁶

• 5⁵

• 5⁷

• 5⁸

Multiple Choice

  (3x³y⁵)⁴ = ?

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Multiple Choice

(ab)² = ?

• ab²

• a²b²

• a²b

Multiple Choice

2x2x2x2x2x2 = ?

• 2²

• 2⁴

• 2⁵

• 2⁶

Multiple Select

Check all powers that have a positive value.

• $$4^2$$

• $$\left(-2\right)^3$$

• $$\left(-1\right)^4$$

• $$-\left(3\right)^6$$

• $$\left(\frac{1}{2}\right)^2$$

Multiple Choice

The volume of a cube can be calculated using the formula v = lwh. Write the volume of the cube as a power.

• $$5^3$$

• $$3^5$$

• $$5^2$$

• $$125$$

Multiple Choice

18¹ = ?

• 18

• 0

• 324

• 1

Multiple Choice

$$\left(1000\right)^{0\ }\ =\ ?$$  

• 0

• 1

• infinite

• none of these

​Remember!

Multiple Choice

Write 0.00000054 in scientific notation.

• 54 x 10⁸

• 5.4 x 10⁷

• 54 x 10^-8

• 5.4 x 10^-7

Multiple Choice

Write 3.5 x 10⁶  in standard notation.

• 0.0000035

• 35,000,000

• 3,500,000

• 0.00000035

Multiple Choice

Write 42,000 in scientific notation.

• 42.000 x 10³

• 4.2 x 10 ^-4

• 4.2 x 10⁴

• 0.42 x 10⁵

Multiple Choice

Write 9.31 x 10^-5               in standard notation.

• 93,100,000

• 931,000

• 0.00000931

• 0.0000931

Multiple Choice

Which value is the greatest?

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

Multiple Choice

If the exponent is a positive number the original number was...

• a really big number.

• a really small number.

Multiple Choice

If the exponent is a negative number the original number was...

• a really large number.

• a really small number.

Multiple Choice

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

• False

• True