Properties of Exponents Product Quotient Power to Power Negative Bases

According to exponent rules, when we raise a power to a power we _______ the exponents.

• add

• subtract

• multiply

• divide

When dividing exponential expressions with the same base, what always happens to the exponents?

• they are added together

• they are subtracted

• they are divided

• they are multiplied

Simplify the expression.
x⁴ (x¹²)

• x³

• x⁴⁸

• x¹⁶

• x⁸

• 2y²⁴
• 2¹⁰
• 2y¹⁰
• 2y¹⁴

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

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide the expressions we _______ the exponents.

• add

• subtract

• multiply

• divide

(3y⁴)²

• 9y⁸

• 9y⁶

• 6y⁸

• 6y⁶

Simplify:
(xy²)⁴

• x⁴y²

• x⁴y⁸

• x³y²

• x⁵y⁶

Simplify (3x³y)(2x⁸y⁵)

• 5x¹¹y⁶

• 6x¹¹y⁶

• 6x²⁴y⁵

• 5x¹¹y⁶

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰

• 6xy³²

• 8x¹²y²¹

• 8x⁷y¹⁰