Law of exponents

When you have to make a product the only thing you need is to add the exponents (if it has the same number)

• Product of law

• Quotient law

• Zero exponent law

 $2^3\times2^5$  

• 8

•  $4_{ }^8$  

•  $2^8$  

To divide two exponents with the same base, you keep the base and subtract the powers. This is similar to

• Quotient law

• Negative exponent law

 $\frac{5^7}{5^4}$  

•  $10^3$  

•  $5^3$  

•  $\frac{5^2}{5}$  

Power of a product law: Any base with an exponent of 0 is equal to 1

• True

• False

Power of a product law

• Power of a product law

 $x^0=1$  

• Zero exponent law

• Negative exponent law

Zero exponent law

• Zero exponent law

 $5^3\times5^{-5}$  

• -5

•  $\frac{1}{25}$  

•  $5^8$  

Negative exponet law

• Negative exponet law