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

Simplify the expression:

• c⁷

• 1/c⁷

• 1/c¹⁷

• c⁶⁰

Product of Powers: Keep the base and ____ the exponents.

• add

• subtract

• multiply

• divide

Simplify:  $\left(2x\right)^3$  

•  $2x^3$  

•  $8x^3$  

•  $6x^3$  

•  $5x^3$  

(___) $^3\ \div\ \left(-0.2\right)^2\ =\ -5$ 

The missing number 

• must be a positive number

• must be a negative number

• could be both positive and negative number

Mathematical Equivalence

ON

Which option follows the product of a power rule for exponents with the same base?

• (2⁹)(2²) = 2⁷

• (2⁹)(2²) = 2¹⁸

• (2⁹)(2²) = 2¹¹

Simplify--express your solution as a number with an exponent

Mathematical Equivalence

OFF

Simplify the expression:

(3xy)²

• 6x²y²

• 3²x²y²

• 3xy²

• 3x²y

Simplify (2x⁴y⁷)³

• 6x⁷y¹⁰
• 6xy³²
• 8x¹²y²¹
• 8x⁷y¹⁰