The Product Rule is as follows: when you want to multiply two numbers with exponents and the same base, you can simply just add the exponents and keep the base to get your answer!
An example of this would be (2^3)(2^5) = 2^8! Simply add the exponents!
An example of this would be 4^6 / 4^2 = 4^4! Simply subtract the exponents!
The Quotient Rule is as follows: when dividing numbers with the same base, keep the base and subtract the exponents!
The Power Rule states that if when you raise a power to a power, you must keep the base and multiply the exponents!
An example of this would be (5^3)^2 = 5^6! Simply multiply the exponents!
Whenever you have a negative exponent, you must simplify this to its reciprocal raised to its opposite, positive exponent.
An example of this would be 6^-2, which would simplify to 1 / 6^2! Pretty simple!
Finally, whenever you have an exponent of zero, the exponent (including its base) equals 1!
An example of this would be 3^0, which would equal 1!
The end! Thanks for reading, and maybe we will catch you next time on Math Across the World!
