properties of exponents

Product of powers

100

Simplify x³ · x⁴

X⁷

200

Simplify  a⁵ · a²

a⁷

300

Simplify 2³ · 2⁵

2⁸

400

Simplify x⁴y² · x³y⁵

x⁷y​⁷​​​

500

Simplify  3x⁴y² · 2x³y⁵

6x⁷y⁷

Quotient of power

100

Simplify: x⁵ / x²

x³

200

Simplify: a⁸ / a³

a⁵

300

Simplify: 2⁷ / 2³

2⁴

400

Simplify: (x⁷y⁶) / (x³y²)

x⁴y⁴

500

Simplify: (12x⁸y⁵) / (3x³y²)

4x⁵y³

Power of power

100

Simplify: (x²)³

X⁶

200

Simplify: (a⁴)²

a⁸

300

Simplify: (2³)⁴

2¹²

400

Simplify: (x³y²)⁴

X¹²y⁸

500

Simplify: (2x³y²)³

8x⁹y⁶

Mixed properties

100

Simplify: x² · x⁵

x⁷

200

Simplify: x⁹ / x⁴

x⁵

300

Simplify: (x²)³ · x⁴

x¹⁰

400

Simplify: (x⁸ · x³) / x⁵

x¹⁰

500

Simplify: ((x³)⁴ · x²) / x⁵

x⁹

What is wrong?

100

A student says x³ · x² = x⁶. Is this correct?

No. The correct answer is x⁵.

200

A student says x⁸ / x³ = x¹¹. Explain the mistake.

The exponents should be subtracted: x⁸ / x³ = x⁵.

300

A student says (x²)⁴ = x⁶. Correct them.

The exponents should be multiplied: (x²)⁴ = x⁸.

400

A student says x³ + x³ = x⁶. Is this correct?

No. x³ + x³ = 2x³.

500

Find the error: (x²)³ / x⁴ = x⁵. Give the correct answer

The correct answer is x²