Exponent Rules

Exponent Rules

Multiple Choice

(5x³ - 2x² - 10) + (7x² + 8x + 6)

• 5x³ - 5x² + 8x - 4

• 12x³ - 5x² + 8x + 4

• 5x³ + 5x² + 8x - 4

• 5x³ + 5x² + 8x + 4

Multiple Choice

(5x³ - 2x² - 10) - (7x² + 8x + 6)

• 5x³ - 9x² - 8x - 16

• 2x³ - 5x² + 8x + 4

• 5x³ - 5x² + 8x - 16

• -2x³ - 9x² + 8x + 4

Multiple Choice

(3x+1)(2x-5)

• 5x² - 13x - 5

• 5x² + 17x - 5

• 6x² + 13x - 5

• 6x² - 13x - 5

Power times Power

when the variables are being multiplied you add the exponents if the bases are the same.

Multiple Choice

x³⋅x⁸

• x¹¹

• x²⁴

• x⁵

Multiple Choice

x⁷⋅x²⋅x⁶

• x⁸⁴

• x¹⁵

• x¹

Multiple Choice

5x²⋅4x

• 20x²

• 20x³

• 9x³

• 9x²

Multiple Choice

(-3)³(-3)²

• (-3)⁶

• 9⁶

• (-3)⁵

• 9⁵

Power divided by power

when the variables are being divided you subtract the exponents if the bases are the same.

Multiple Choice

x⁹/x³

• x⁶

• x²⁷

• x³

• 1⁶

Multiple Choice

4⁷/4²

• 4x⁵

• 4x⁹

• 1x⁵

• 1x⁹

Multiple Choice

(20x⁵)/(5x³)

• 15x²

• 15x⁸

• 4x²

• 4x⁸

Power raised to power

when there are two powers you multiply the two exponents

Multiple Choice

(x³)⁶

• x⁹

• x¹⁸

• x³

• x²

Multiple Choice

(4²)³

• 16³

• 4⁵

• 4⁶

• 4¹

Multiple Select

(2x⁴)⁴

• 2⁴x¹⁶

• 16x⁸

• 2⁴x⁸

• 16x¹⁶

Negative Exponents

If you have a negative exponent, make it a reciprocal.

Multiple Choice

x^-3

• -3x

• 1/x³

• x³

Multiple Choice

4^-2

• 16

• -16

• 1/16

• -1/16

Zero exponent

anything to the zero power is ONE!

Multiple Choice

5⁰

• 1

• 5

• 0

Multiple Choice

5x⁰

• 1

• 5

• 5x

• 0

Multiple Choice

(5xy)⁰

• 1

• 5

• 5xy

• 0