Exponent Rules

Anything raised to a power of zero is always: 

• 0
• 1
• itself
• negative

According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d²)⁵

• add
• subtract
• multiply
• divide

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add
• subtract
• multiply
• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add
• subtract
• multiply
• divide

Simplify:  $3n^5\cdot5n^{10}$  

•  $15n^5$  

•  $8n^{15}$  

•  $15n^{50}$  

•  $15n^{15}$  

Simplify:  $\frac{2^9}{2^6}$  

•  $1^3$  

•  $0^3$  

•  $2^3$  

•  $2^{15}$  

Simplify:  $\left(3x^5\right)^6$  

•  $18x^{30}$  

•  $729x^{11}$  

•  $3^6x^{30}$  

•  $729x^{30}$  

Simplify:  $\left(4y\right)^{-3}$  

•  $\frac{1}{64y^3}$  

•  $64y^{-3}$  

•  $-12y^{-3}$  

•  $\frac{64}{y^3}$  

Simplify:  $2m^{-1}$  

•  $\frac{1}{2m}$  

•  $\frac{m}{2}$  

•  $\frac{2}{m}$  

•  $2m$  

Simplify:  $\left(-x^3\right)\left(-5x\right)$  

•  $5x^4$  

•  $-5x^4$  

•  $5x^3$  

•  $-5x^3$