Properties of Exponents with Variables

x⁶ / x²

• x⁴

• x¹²

• x³

• x⁸

3x⁴ * 6x⁶

• 18x¹⁰

• 18x²⁴

• 9x¹⁰

• 9x²⁴

(4x³)²

• 8x⁵

• 8x⁶

• 16x⁵

• 16x⁶

Which expression is equivalent (equal) to ( n * y)⁶

• 6n * 6y

• n⁶ * y⁶

• n⁶y⁶

According to exponent rules, when we multiply two power with the same base we _______ the exponents.

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents. Example: a⁸ / a³

• add

• subtract

• multiply

• divide

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

• add

• subtract

• multiply

• divide

When dividing powers with the same base, you _______________ the exponents.

• Add

• Subtract

• Multiply

• Divide

According to exponent rules, when we raise the power to a power we _______ the exponents. Example: (e²)⁵

• add

• subtract

• multiply

• divide

Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.