Power Rule Lesson Slides: 5 Slides (Grade 10)

5 Slides • 11 Questions

1

Power to a Power rule

2

Vocabulary Review

Base:
a number that is raised to a certain power

Exponent:
Shows how many times the number is multiplied by itself.

Coefficient:
a number that multiplied by the variable

3

Power Rule

4

Multiple Choice

Simplify the following expression:

(b³)⁸

1

b¹¹

2

8b³

3

b²⁴

4

24b

5

Multiple Choice

Which shows the Power Rule used correctly? $\left(ab\right)^5$

1

$ab^5$

2

$a^5b^5$

3

$a^5b$

4

$a^6b^6$

6

Multiple Choice

$\left(x^5y^7\right)^3\ =\ x^{15}y^{21}$

1

True

2

False

7

Multiple Choice

Simplify the exponential expression. $\left(\left(-2\right)^5\right)^8$

1

$\left(-2\right)^{40}$

2

$\left(-2\right)^{13}$

3

$\left(-2\right)^3$

4

$\left(-2\right)^{16}$

8

Just like when before the variable terms may have a Coefficient

9

Multiple Choice

Simplify the exponential expression. $\left(3^2a^4\right)^5$

1

$3^{10}a^9$

2

$3^{10}a^{20}$

3

$3^7a^9$

4

$3^7a^{20}$

10

Multiple Choice

Simplify. $\left(2cd^2\right)^4$

1

$2^4c^4d^6$

2

$2^4c^4d^8$

11

Multiple Choice

$\left(3n^4\right)^3$

1

$9n^{12}$

2

$9n^7$

3

$27n^7$

4

$27n^{12}$

12

Multiple Choice

Simplify the following expression:

(3x³y⁵)⁴

1

3x¹²y²⁰

2

81x¹²y²⁰

3

12x¹²y²⁰

4

81x⁷y⁹

13

Let's mix them up the Laws!
Work with a partner!

14

Multiple Choice

Simplify.

3(2x³y⁴)⁴

1

48x¹²y¹⁶

2

-48x¹²y¹⁶

3

-24x¹²y¹⁶

4

-24x⁷y⁸

15

Multiple Choice

Simplify $\left(\frac{cd^2}{d}\right)^5$

1

$\frac{cd^{10}}{d^{ }}$

2

$\frac{c^5d^{10}}{d^{ }}$

3

$c^5d^{10}$

4

$c^5d^5$

16

Multiple Choice

Multiply: (-5a³)² ⋅ (3a⁶b)²

1

-15a¹⁸b²

2

225a¹⁸b²

3

-225a¹⁸b²

4

200a¹⁷b²

Power to a Power rule

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