Product of powers
Simplify x³ · x⁴
X7
Simplify: x⁵ / x²
Simplify: (x²)³
X6
Simplify: x² · x⁵
A student says x³ · x² = x⁶. Is this correct?
No. The correct answer is x⁵.
Simplify a⁵ · a²
a7
Simplify: a⁸ / a³
Simplify: (a⁴)²
Simplify: x⁹ / x⁴
A student says x⁸ / x³ = x¹¹. Explain the mistake.
The exponents should be subtracted: x⁸ / x³ = x⁵.
Simplify 2³ · 2⁵
28
Simplify: 2⁷ / 2³
24
Simplify: (2³)⁴
212
Simplify: (x²)³ · x⁴
A student says (x²)⁴ = x⁶. Correct them.
The exponents should be multiplied: (x²)⁴ = x⁸.
Simplify x⁴y² · x³y⁵
Simplify: (x⁷y⁶) / (x³y²)
x4y4
Simplify: (x³y²)⁴
X12y8
Simplify: (x⁸ · x³) / x⁵
A student says x³ + x³ = x⁶. Is this correct?
No. x³ + x³ = 2x³.
Simplify 3x⁴y² · 2x³y⁵
6x7y7
Simplify: (12x⁸y⁵) / (3x³y²)
4x5y3
Simplify: (2x³y²)³
8x9y6
Simplify: ((x³)⁴ · x²) / x⁵
Find the error: (x²)³ / x⁴ = x⁵. Give the correct answer
The correct answer is x2