Exponents Review

Exponents

Let's practice simplifying exponents!

Multiple Choice

Which number is the BASE?
2³ = 8

• 2
• 3
• 8

Multiple Choice

Which number is the EXPONENT?
4^{2 =} 16

• 4
• 2
• 16

When you MULTIPLY 2 terms with the SAME BASE, ADD their exponents.

Multiple Choice

Simplify the expression

$$x^5\cdot x^7$$  

• x³⁵

• x¹²

• x²

• x^-2

Multiple Choice

Simplify
x³⋅x²

• x⁶
• x⁵
• x
• x⁴

Multiple Choice

(2m⁴)(5m²)

• 10m⁶
• 10m⁸
• 7m⁶
• 7m⁸

Multiple Choice

(6x²)(-3x⁵)

• 18x⁷
• -18x⁷
• 18x⁷
• 3x⁷

Multiple Choice

1.)  Simplify
 (2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶
• 12a⁶b⁸z⁵
• 12a⁵b⁶z⁶
• 8a⁶b⁸z⁵

When you DIVIDE 2 terms with the SAME BASE, SUBTRACT their exponents.

Multiple Choice

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

Multiple Choice

When dividing powers with the same base, you _______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

Simplify the expression.

• 1/y⁵
• 1/y²
• y²
• y⁵

Multiple Choice

Simplify
$$\frac{45x^6y^9}{5x^4y^2}$$  

• (9x²)/y⁷

• 40x²y⁷

• 9x²y⁷

• 9x¹⁰y¹¹

Multiple Choice

$$\frac{8g^4h^3m^7}{-4g^4h^3m^6}$$  

• -2m

• 2ghm

• -32g⁸h⁶m¹³

• no solution

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 divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Multiple Choice

• x⁴
• x⁸
• x¹²
• x²⁰

Multiple Choice

Simplify please $$\frac{9x^2y}{27x^6y^2}$$  

• 3x⁴y

Multiple Choice

Simplify
$$\frac{45x^6y^9}{5x^4y^2}$$  

• (9x²)/y⁷

• 40x²y⁷

• 9x²y⁷

• 9x¹⁰y¹¹

Multiple Choice

• 3x⁴y

​Power to a Power

​When we have an exponent raised to a power, we keep the base and multiply the exponents.

Multiple Choice

Simplify using to power to a power property (x³)⁴

• x¹²

• x^-1

• x⁷

• x⁰

​If there are more than 1 base...

Multiple Choice

Simplify:
(xy²)⁴

• x⁴y²
• x⁴y⁸
• x³y²
• x⁵y⁶

​If there is a coefficent...

Multiple Choice

Simplify:
(5ab²)²

• 25a²b⁴
• 10a²b⁴
• 5a²b⁴
• 25ab²

Multiple Choice

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

• add
• subtract
• multiply
• divide

Multiple Choice

Simplify the following expression:

(3x³y⁵)⁴

• 3x¹²y²⁰

• 81x¹²y²⁰

• 12x¹²y²⁰

• 81x⁷y⁹

Zero Exponent Rule

Multiple Choice

Simplify -4x⁰

• -4x
• -4
• 1
• -1

Multiple Choice

Simplify

• -1

• 1/32

• -1/32

• 1

Multiple Choice

Anything (other than zero) raised to a power of zero is always:

• 0

• 1

• itself

• negative

Multiple Choice

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Multiple Choice

Which is greater,  2654⁰ or 5⁰?

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

Fill in the Blanks

$Simplify\ \ b^0c^0$  

Fill in the Blanks

$Simplify\ \ \left(a^2b^{-7}\right)^0$  

Multiple Choice

$$x^{-5}$$  =

• $$\frac{1}{x^{-5}}$$  

• $$\frac{1}{x^5}$$  

• $$\frac{x^5}{1}$$  

• $$\frac{x^{-5}}{1}$$  

Multiple Choice

Rewrite using a positive exponent.
w^-13

• -w¹³
• ¹/_w¹³
• ¹/_w^-13
• w¹³

Multiple Choice

Simplify

• 7a⁵/b³
• b³/7a⁵
• 7b³/a^-5
• 7b³ /a⁵

Multiple Choice

Simplify

• a³b²/4

• 4a³/b²

• 4/a³b²

• 1/4a³b²

Multiple Choice

Simplify x²y^-5

• 1/x²y⁵
• x²/y⁵
• y⁵/x²
• x²/y^-5

Multiple Choice

Simplify (x^-5y^-2)/(a^-3b^-3)

• 1
• (a³b³)/(x⁵y²)
• (x⁵y²)/(a³b³)
• (a³y²)/(x⁵b³)

Multiple Choice

Challenge Question!
(2^-2x^-3y³)/(3^-3a²b^-4)

• (4x³y³)/(27a²b⁴)
• (27a²b⁴)/(4x³y³)
• (4x³b⁴)/(27a²y³)
• (27y³b⁴)/(4x³a²)

Multiple Choice

• a⁸

• a¹⁵

• a³⁵

• a^-2

Multiple Select

Multiple Choice

• 0

• 1

• 3

• 31

Multiple Choice

Multiple Choice

Multiple Choice

• a^-3

• a³

• 3a

• 1/a^-3

Multiple Choice

Multiple Choice

$$\left(2a^2\ b\right)\left(4ab^2\right)$$  

• $$6a^2b^3$$  

• $$6a^3b^2$$  

• $$8a^3b^3$$  

• $$8a^2b^2$$  

Multiple Choice

$$\left(2x^2y^3\right)^2$$  

• $$2^2x^4y^5$$  

• $$2x^4y^5$$  

• $$4x^2y^5$$  

• $$4x^4y^6$$  

Multiple Choice

$$\frac{18c^2}{-3c^3}$$  

• $$\frac{6}{c}$$  

• $$-6c^{ }$$  

• $$\frac{-6}{c}$$  

• $$\frac{18}{-3c}$$  

Multiple Choice

Simplify the expression   

•   $$\frac{-1}{3x^5y^7}$$  

• $$3x^5y^7$$   

• $$16x^{13}y^9$$   

• $$\frac{1}{16x^{13}y^9}$$   

Multiple Choice

$$\frac{1}{y^{-6}}$$  

• $$y^6$$  

• $$-y^6$$  

• $$-6y$$  

• $$\frac{1}{-6y}$$  

Multiple Choice

$$\frac{x^{-9}}{x^{10}}$$  

• $$\frac{x^{10}}{x^9}$$  

• $$\frac{x^9}{x^{10}}$$  

• $$\frac{1}{x}$$  

• $$\frac{1}{x^{19}}$$