Dividing Powers Positive Exponents Only

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

When DIVIDING 2 numbers with the same base...

• Keep the base and DIVIDE the exponents

• Keep the base and ADD the exponents

• Keep the base and SUBTRACT the exponents

Evaluate the expression using the quotient rule.

• 2¹⁴ z¹³

• 2²/z⁷

• 2¹⁴/ z⁷

• 2² z⁷

Simplify the expression.

• 7⁶

• 7^-5

• 1/7⁵

• 7⁵

• 4y⁶
• 4y²²
• 30y⁶
• 30y²²

• x²
• x³
• x
• x⁵

• 1¹⁰
• 1²⁶
• z¹⁰
• z²⁶

3⁴/ 3⁸

• 3⁴

• 1/3⁴

• 3^-12

• 3³²

• x^2.75

• x⁴⁴

• x¹⁵

• x⁷

What mistake did this student make?

• student multiplied the exponents instead of adding

• student divided exponents instead of subtracting

• there is no mistake, the answer is correct

• student divided the exponents instead of adding