Understanding and applying the laws of exponents to numerical expressions (integral exponents)

Simplify 2m⁴ • 5m²

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Simplify the expression.

10⁶ x 10⁸ = ______

• 10¹⁴

• 10⁴⁸

• 10²

• -10¹⁴

Fill in the blank: According to the Exponents rule, when we multiply the same base, we ______the exponent.

To solve

 $\frac{y^9}{y^2}$  
you must ___________ the exponents.

• subtract

• multiply

• add

• balance

According to exponent rules, when we divide expressions we _______ the exponents.

• Add

• Subtract

• Multiply

• Divide

Simplify the expression 27a² ÷ -3a

• -9a³
• -9a⁶
• -24a³
• 24a⁶

Simplify the following expression:

(-7y²)(5y⁴)

• -35y⁶

• -2y⁶

• -35y⁸

• -2y⁸

Simplify:
(3³³)² =

• 3⁶⁶
• 9⁶⁶
• 3
• 0

When raising a power to a power, you ____________________ the exponents.

Answer explanation

Distribute power 4 to both top and bottom of fraction. y to the 2nd becomes y to the 8th, y to the 3rd becomes y t the 12th. If you continue to simplify there is y to the 4th left on the bottom