Algebra 1 - Simplifying Exponents

15x²y⁷

(-15xy⁴)(-xy³)

-(3x)/y³

(-21x⁵y²)/(7x⁴y⁵)

-27x³

(-3x)³

-8x⁵y⁴

(-4x²y)²(-½xy²)

1

(-99)⁰

-x⁴y³z

(-xy)³(xz)

0.4x⁴y⁶

(0.2x²y³)²

0.064x⁹

(0.4x³)³

x⁴/3

(12x⁵)/(36x)

3x⁵y²

(15x⁶y⁻⁹)/(5xy⁻¹¹)

9/4

(2/3)⁻²

4x⁶y⁸

(2x³y⁴)²

16/9

(3/4)⁻²

4/3

(3/4)⁻¹

-4x²yz³

(32x³y²z⁵)/(-8xyz²)

9x²y⁴

(3xy²)²

25/16

(4/5)⁻²

-(8x⁵y²)/z

(48x⁶y⁷z⁵)/(-6xy⁵z⁶)

1

(4x³/2x⁵)⁰

-8x⁸y

(4x³y)(-2x⁵)

(16x¹⁴)/(49y⁴)

(4x⁷/7y²)²

6

(6⁵)/(6⁴)

3x

(9x⁷)/(3x⁶)

9⁴

(9¹²)/(9⁸)

y²/x²

(x/y)⁻²

y/x

(x/y)⁻¹

x⁷

(x²/x⁻⁵)

y⁶/x⁶

(x²/y²)⁻³

y²/x²

(x²/y²)⁻¹

x⁹

(x³/x⁻⁶)

y³/x³

(x³/y³)⁻¹

(1)/(y²)

(x³y²)/(x³y⁴)

x²y³

(x³y⁵)/(xy²)

x²

(x⁴)/(x²)

y²

(x⁴y³)/(x⁴y)

x³

(x⁷y²)/(x⁴y²)

1/x⁷

(x⁻³)/(x⁴)

1/x⁹

(x⁻⁴)/(x⁵)

(y⁴z²)/x⁵

(x⁻⁵y⁴)/(z⁻²)

¼x²y⁶

(½xy³)²

1

100⁰

1/(4⁴) or 1/256

4⁻⁴

1/(8²) or 1/64

8⁻²

x⁷

Find the area of a rectangle if the length is x² and the width is x⁵.

18x³y⁶

Find the area of a rectangle whose length is 6x²y⁴ and width is 3xy²

x²y²

Find the area of a square if the side length is xy.

18x⁴

Find the area of a triangle with base 9x³ and height 4x.

8x⁵y²

Simplify (-2x⁴y)(-4xy)

-15x⁶y

Simplify (-5x²y)(3x⁴)

-15x¹¹

Simplify (-5x³)(3x⁸)

36x²

Simplify (-6x)²

10⁶ or 1,000,000

Simplify (10²)³

8a⁴b⁴c⁴

Simplify (2ab²c²)(4a³b²c²)

6x⁷

Simplify (2x²)(3x⁵)

-6x³y⁴

Simplify (3xy⁴)(-2x²)

12x⁴y⁸

Simplify (4xy³)(3x³y⁵)

20x⁹

Simplify (5x⁷)(4x²)

7x⁷y⁵

Simplify (7x⁵y²)(x²y³)

a⁴b⁴

Simplify (ab²)(a³b²)

a⁴b⁸

Simplify (a²b⁴)(a²b⁴)

x³⁶

Simplify (x³)¹²

y³z³

Simplify (y²z)(yz²)

y⁵z³

Simplify (y²z²)(y³z)

x¹⁰

Simplify x(x²)(x⁷)

x⁸

[(x²)²]²

x²⁴

[(x²)³]⁴

1/(x²)

x/(x³)

x²y³

x²y³z⁰

(x²y³)/(z⁴)

x²y³z⁻⁴

x²

x²y⁰

(x²)/(y³)

x²y⁻³

(x²z⁴)/(y³)

x²y⁻³z⁴

(x³)/(y²)

x³y⁻²

1

x⁰

1/x²

x⁰(x⁴)(x⁻⁶)

1/x²

x⁻²

1/(x²y³)

x⁻²y⁻³

1/x³

x⁻³

1/x⁴

x⁻⁴

1

y⁰