exponent rules

Simplify 2m⁴ • 5m²

• 10m⁶

• 10m⁸

• 7m⁶

• 7m⁸

Simplify the expression: r⁶⋅r²⋅r³=

• r⁶⁺²⁺³
• r¹¹
• 11r

Simplify: (2x³y⁵)³

• 8x⁹y¹⁵
• 6x⁹y¹⁵
• 2x⁹y¹⁵
• 8x⁶y⁸

The product rule states that when multiplying powers with the same base __________________ the exponents.

• subtract

• add

• multiply

• divide

How would you simply (2x⁵)(6x⁴) ?

• MULTIPLY both the coefficients and MULTIPLY the exponents

• DIVIDE the coefficients then SUBTRACT the exponents

• Combine like terms

• MULTIPLY the coefficients then ADD exponents

(2x³y)⁶

• 2x¹⁸y⁶
• 64x¹⁸y⁶
• 64x³y⁶
• 2x³y⁶

Which expression(s) are

equivalent to 5⁵?

• 5⁴⋅5⁰ and 5⁴⋅5¹

• 5⁴⋅5¹ and 5⁴⋅5²

• 5⁴⋅5² and 5⁶⋅5^-1

• 5⁴⋅5¹ and 5⁶⋅5^-1

Simplify the following:  $\left(4x^3\right)^4$  

•  $16x^7$  

•  $4^4x^7$  

•  $256x^{12}$  

•  $16x^{12}$  

When using the Power to a Power rule, what are you supposed to do with the exponents? ex.  $\left(x^9\right)^{12}$  

• Add the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Make it  $12x^9$  

Using exponents, simplify the following expression:

5⁵ * 5^-3

• 5^-15

• 5⁸

• 5^-8

• 5²