7 Slides • 6 Questions

Power of Power with Quotient Property

By Scott Donnelly

2

Multiple Choice

Simplify

$3^8\cdot3^6$

1

$3^{48}$

2

$3^2$

3

$3^{14}$

4

$9^{48}$

3

Multiple Choice

Simplify

$\frac{x^3}{x^{10}}$

1

$\frac{0}{x^7}$

2

$x^7$

3

$\frac{1}{x^7}$

4

$x^{13}$

4

Multiple Choice

Simplify

$\left(2^6x^4y\right)^7$

1

$2^{13}x^{11}y$

2

$2^{13}x^{10}y^8$

3

$2^{42}x^{28}y$

4

$2^{42}x^{28}y^7$

5

Quotient Property

If we have a power outside of a parenthesis, we distribute the power to everything INSIDE the parenthesis.

6

Quotient Property

Example

7

Quotient Property

Example

8

Multiple Choice

Simplify

$\left(\frac{2^3x^4}{3^8}\right)^2$

1

$\frac{2^5x^6}{3^{10}}$

2

$\frac{2^6x^8}{3^8}$

3

$\frac{2^6x^8}{3^{16}}$

9

Common Base

If there is a common base inside parenthesis, combine those first then distribute.

10

Example

11

Example

12

Multiple Choice

Show out work on dry erase boards,

$\left(\frac{3^2x^4}{3^5x}\right)^2$

1

$\frac{x^6}{3^6}$

2

$3^6x^6$

3

$\frac{3^6}{x^6}$

13

Multiple Choice

Show out work on dry erase boards,

$\left(\frac{5x^4}{10x}\right)^8$

1

$2x^{24}$

2

$\frac{x^{24}}{2}$

3

$\frac{x^{24}}{2^8}$

Power of Power with Quotient Property

By Scott Donnelly

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