Exponent Rules

Exponent Rules

After this lesson you will be able to do homework packet 1

Exponent Rules

• Please review your mini lessons for the rules of exponents

• Answer the following questions using your notes.

Multiple Choice

True or False?

• True
• False

Multiple Choice

Simplify the expression.

• 1
• g¹⁰
• g²⁵
• g

Multiple Choice

True or False: 

• True 
• False

Multiple Choice

Simplify the expression.

• 7⁶
• 7^-5
• 1/7⁵
• 7⁵

Multiple Choice

Write using a single exponent: (10⁹)³

• 10¹²

• 10³

• 10⁶

• 10²⁷

Multiple Choice

Write using a single exponent: (10⁴)⁵

• 10²⁰

• 10¹

• 10⁹

• 10⁶

Multiple Choice

Write using a single exponent: 10³ x 10⁵

• 10¹⁵

• 10⁸

• 10²

• 10⁶

Multiple Choice

Simplify the expression.
x⁴ (x¹²)

• x³
• x⁴⁸
• x¹⁶
• x⁸

Multiple Choice

Simplify   (2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

^simplify 5x³ 2x²

• 10x⁵
• 3x
• 10x⁶
• 7x⁵

Scientific notation

• Review the mini lessons reading about scientific notation.

• Remember: 1.----------, there is always only one digit left of the decimal and the power of 10 can be negative or positive according to the direction the decimal point must move.

Multiple Choice

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

• Large
• Small
• Basic

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³
• 6.7 x10^-3
• 67 x 10²
• 67 x 10^-2

Multiple Choice

Which number is the least in value

• 5.0 x 10^-9

• 5.0 x 10^-4

• 5.0 x 10⁶

• 5.0 x 10⁸

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

Convert this number into scientific notation: 950,000

• 9.5 x 10⁵

• 9.5 x 10^-9

• 9.5 x 10²

• None of the above

Fill in the Blank

Convert this number to standard notation: 1.4 x 10^-2

Multiple Choice

When using scientific notation, a positive exponent means ...

• the standard number is greater than one

• the standard number is less than one

• the negative sign doesn't have a meaning

• None of the above

Multiple Choice

Convert this number into scientific notation: 0.068

• 6.9 x 10⁶

• 6.8 x 10^-9

• 6.8 x 10^-2

• None of the above

Fill in the Blank

Convert this number to standard notation: 7.1 x 10⁴

Multiple Choice

When using scientific notation, a negative exponent means ...

• the standard number is greater than one

• the standard number is less than one

• the negative sign doesn't have a meaning

• None of the above