Exponent Rules

(x⁶ )(x³)

• x¹⁸

• x⁹

• x⁸

• x³

Find the area of a triangle that has base length 12d³c⁵ and height 3d³c.

• 36d⁶c⁶

• 15d⁹c⁵

• 36d⁹c⁵

• 18d⁶c⁶

 $-\frac{9w^5}{3w^2}$  

• -18w³

• -6w³

• 3w³

• -3w³

(v³)⁵

• v⁸

• v²

• v¹⁵

• v^-2

Find the area of a square that has side length: 9g⁷m³

• 18g¹⁴m⁶

• 9g¹⁴m⁶

• 81g¹⁴m⁶

• 81g⁹m⁵

Rewrite as an equivalent expression with a positive exponent: 

 ^{$\frac{b^{-4}}{5}$}        

•  $\frac{5}{b^4}$  

•  $\frac{5b^4}{1}$ 

•  $\frac{1}{5b^{-4}}$ 

•  $\frac{1}{5b^4}$ 

 $t^2b^{-5}$  is the area of a rectangle. If the length of the rectangle is  $g^4$  , find the expression that represents the base. 

•  $\frac{b^5g^4}{t^2}$  

•  $t^2g^4b^5$  

•  $\frac{t^2}{g^4b^5}$  

•  $\frac{1}{t^2g^4b^5}$  

(b³)⁴ (b²)

• b¹²

• b²⁴

• b⁹

• b¹⁴

When dividing powers, you should ___________ the exponents.

• Add

• Subtract

• Multiply

• Divide

When raising a power to a power, you should ____________ the exponents

• Add

• Subtract

• Multiply

• Divide