Exponent Properties Honors Algebra

Simplify the expression shown. Your answer should contain only positive exponents.

• -a¹²b¹²

• -a⁷b⁷

• a⁷b⁷

• a¹²b¹²

Simplify the expression shown. Your answer should contain only positive exponents.

• 4x⁶

• y⁴

• 32x⁵y⁴

• -4x⁷y³

(2⁵ x 2³)²

• 2¹⁶

• 2¹⁰

• 2¹¹

• 2¹⁷

(q⁷ x q³)⁴ / q⁵

• q⁹

• q⁸

• q³⁵

• q¹⁴

Simplify

(2m⁴)(5m²)

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Evaluate the expression using the quotient rule.

• 2^14 z^13

• 2^2/z^7

• 2^14/ z^7

• 2^2 z^7

Evaluate the expression using the quotient of powers rule.

• a⁸b¹³

• a²b⁷

• a¹⁵b³⁰

• a⁸b⁷

((-2r)³)²

• (-2r)⁵

• -2r⁶

• 4r³

• 64r⁶

When dividing like bases _____ the exponents.

• Add

• Subtract

• Multiply

• Divide

When raising a power to a power, ______ the exponents.

• Add

• Subtract

• Multiply

• Divide