🌄 Lesson 12: power of POWERS

Lesson 12

power of powers

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power of powers

Multiple Choice

Which of the following expressions is equivalent to (2x)³ ?

• (2x)(2x)(2x)
• 2(x)(x)(x)
• 2x + 2x + 2x
• 2x⋅3

Multiple Choice

Simplify:

(5ab²)²

• 25a²b⁴

• 10a²b⁴

• 5a²b⁴

• 25ab²

Multiple Choice

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify:
(7y⁴)²

• 7y⁶
• 14y⁸
• 14y⁶
• 49y⁸

Multiple Choice

(x⁵)⁴

• x⁹
• x²⁰
• x
• x⁵⁴

Multiple Choice

(8⁷)^{2 =}

• 8¹⁴
• 8⁹
• 8⁵
• Neither

Multiple Choice

Simplify:
(x³)²

• x⁵
• x
• x⁶
• 3x²

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

• 2654⁰
• 5⁰
• They are the same
• Zero is greater

Multiple Choice

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³
• 2²/z⁷
• 2¹⁴/ z⁷
• 2² z⁷

Multiple Choice

(2⁸)²

• 2¹⁶
• 2¹⁰
• 2⁶
• 2⁴

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Negative exponents

Multiple Choice

Simplify (evaluate):

2^-1

• $\frac{1}{2}$
  

• $\frac{1}{1}$
  

• $-\frac{1}{1}$
  

• -1/2

Multiple Choice

Simplify (evaluate):

5^-2

• -10

• $\frac{1}{25}$

• $\frac{1}{5^2}$
  

• $-\frac{1}{10}$
  

Multiple Choice

Simplify (evaluate):

3⁻⁴

• $\frac{1}{81}$

  
  

• -81

• 81

• $\frac{1}{12}$

Multiple Choice

Are these two equivalent:

2² = (-2)²

• Yes

• No

Multiple Choice

Simplify (evaluate):

3^-3

• -27

• -9

• $-\frac{1}{9}$

• $\frac{1}{27}$
  

Multiple Choice

Rewrite the expression with a negative exponent.

¹/₁₂₅

• $\frac{1}{5^3}$

• $5^3$

• $5^{-3}$
  

• $\frac{1}{5^{-3}}$
  

Multiple Choice

Rewrite using a positive exponent.

w^-13

• -w¹³

• $\frac{1}{w^{13}}$

• $\frac{1}{w^{-13}}$

• $w^{13}$

Multiple Choice

5^-2

• $\frac{1}{25}$

• $\frac{1}{5^2}$

Multiple Choice

To get rid of a negative exponent you need to...

• Just erase it

• Find the reciprocal

• Multiply it by a negative

• Add a one to it

Multiple Choice

Evaluate

• $-\frac{1}{64}$

• $\frac{1}{16}$

• $\frac{1}{64}$

• $-\frac{1}{16}$

Multiple Choice

Evaluate

• $\frac{1}{10}$

• $-\frac{1}{32}$

• $\frac{1}{32}$

• $32$

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Negative exponents part 2

Multiple Select

Which statement is correct?

• $1^0=1$

• $0^1=1$

• $0^0=1$

• $0^0=1$

Multiple Choice

Which of the following is NOT a perfect square?

• $1$

• $4$

• $100$

• $8$

Multiple Choice

Simplify

 $-\left(6\right)^{-1}$  

•  $-\frac{1}{6}$  

•  $\frac{1}{6}$  

•  $6$  

•  $-6$  

Multiple Choice

Simplify

• -1/16
• 1/16
• -16
• 16

Multiple Choice

• 49/64
• 64/49
• 14/16
• 16/14

Multiple Choice

• 36/25
• 25/36
• 12/10
• 10/12

Multiple Choice

How do you solve:
(2x⁵)(6x⁴)

• MULTIPLY coefficients
  MULTIPLY exponents
• DIVIDE coefficients
  SUBTRACT exponents
• Combine like terms
• MULTIPLY coefficients
  ADD exponents

Multiple Choice

According to exponent rules, when we multiply powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we divide powers we _______ the exponents.

• add
• subtract
• multiply
• divide

Multiple Select

Select all that apply. Which is the same as 

 $\frac{1}{49}$  ?

•  $7^{-2}$  

•  $\frac{1}{7^{-2}}$  

•  $\frac{1}{7^2}$  

•  $49^{-1}$  

Multiple Select

Select all that apply. Which are the same as 9?

• $9^1$

• $32$

• $\frac{1}{3^2}$

• $9^0$

Multiple Select

Select all that apply. Which is the same as 1/4?

• $2^{-2}$

• $\frac{1}{-2^2}$

• $\frac{1}{2^2}$

• $4^{-1}$

Multiple Choice

The number that indicates how many times the based is used as a factor.

• Exponent

• Pi

• Power

• Radical Symbol

Multiple Choice

A method of writing very large or very small numbers by using powers of 10.

• Scientific Notation

• Rational Number

• Composite Number

• Exponent

Multiple Choice

A number that is multiplied by itself three times to produce a product.

• Cube Root

• Square Root

• Principal Square Root

• Principal Cube Root

Multiple Choice

A square of a whole number is

• Perfect Square

• Cube Root

• Perfect Cube

• Principal Square Root

Multiple Choice

A number that is multiplied by itself to form a product is a

• Square Root

• Cube Root

• Principal Square Root

• Principal Cube Root

Multiple Choice

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

Multiple Choice

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

Multiple Choice

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

Multiple Choice

^simplify 5x³ ⋅2x²

• 10x⁵

• 3x

• 10x⁶

• 7x⁵

For more details

• https://youtu.be/HNJdc5Sqx1I

• https://youtu.be/oHNe8AK0E9M

• https://youtu.be/heUUBzvYA1o

• https://youtu.be/CrJEOQh5UXg