Power by Power Rule

Differentiate y= 12x^-2

• 24x^-1

• -24x^-3

• -24x^-1

• 6x^-3

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2

• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2

• 6

• 12

• 2x

The derivative of 

• y'=2x-x^-2

• y'=x^-1+8x

• y'=x^-2+8x

• y=8x-x^-2

If (2^x)⁵=2¹⁵, what does x equal?

• x = 3

• x = 5

• x = 10

(5^2c^3)^5

• 10^5c^5

• 5^7c^8

• 5^10c^15

• 5^10/c^15

(2ab)³

• 2³a³b³

• 2ab³

• 6a³b³

• 6ab

Simplify the following expression:

(2x³y)⁶

**HINT: Distribute the exponent to all terms inside the parenthesis**

• 2x¹⁸y⁶

• 64x¹⁸y⁶

• 64x³y⁶

• 2x³y⁶

(r⁴)⁶

• 10r

• r¹⁰

• 24r

• r²⁴

(5²)³

• 5⁶

• 5⁵

• 5⁷

• 5⁸