Exponent Laws Simplify Adding Subtracting Monomials

Simplify
x³⋅x⁶

• x⁹

• x¹⁸

• x¹

• x²

Simplify.

(2x³y)⁶

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

Simplify.

(3x⁴y⁵)²

• 9x⁸y¹⁰

• 6x⁸y¹⁰

• 3x⁸y¹⁰

• x⁸y¹⁰

According to exponent rules, when we multiply expressions with same bases we _______ the exponents.

• add

• subtract

• multiply

• divide

When adding or subtracting monomials, what happens to the exponents?

• You add or subtract them from each other.

• The exponents stay the same.

• -35y⁶
• -35y⁵
• -2y⁶
• -2y⁵

-20x⁶ + (-10x⁶)

• 10x¹²

• -30x⁶

• -10x⁶

• -30x¹²

Simplify
(2a²b⁴z)(6a³b²z⁵)

• 8a⁵b⁶z⁶

• 12a⁶b⁸z⁵

• 12a⁵b⁶z⁶

• 8a⁶b⁸z⁵

10m²n + 7mn² - m²n

• 9m²n + 7mn²

• 16m²n

• 17m²n - mn²

• No change

Simplify: 2x² + 3y - 2x + 5y + 2x

• 2x² + 8y

• 2x + 8y

• 2x + 5y

• 2x² + 4x + 8y