This is Jack G. and Jaden C.'s Laws of Exponets Project
Multiplying Exponents: If the base is the same but the exponent is different,you multiply the exponents.For example 3² x 3⁵ = 3 to the 7th power because 2+5=7 and the base are both three so it is 3 to the 7th power. If it is the anthesis and its a diffrent base and same exponent,you multiply the bases.For example 10 to the 3rd multiplied by 2 to the 3rd it would be 20 to the 3rd because 10 x 2=20 and the exponents are the same so it would be 20 to the 3rd.
Adding and Subtracting Exponents: Adding is similar to multiplying if the base is different and exponent the same you add the base and keep the exponent.Like for example 2 to the 3rd plus 5 to the third = 7 to the 3rd Subtracting is pretty much the same like lets say 5 to the 3rd minus 3 to the 3rd would be 2 to the third.
Negative Exponents: With negative exponents 1st you pretend it is a regular exponent then see what it equals and make it a unit fraction.For example 8 to the negative 3rd power = 1/512 because 8 x 8 = 64 x 8=512 making it into a unit fraction 1/512
Dividing exponents: When you divide exponents with the same base different exponent you keep the base the same and subtract the exponent.Like 4 to the 12th divided by 4 to the third would be 4 to the 9th. If the base is not the same you divide it.Like 9 to the 15th divided by 3 to the 7th would be 3 to the 8th.
Exponents of Zero: Exponents of zeros are easy because they always equal 1 but if it is negative it will equal -1 unless it has parenthesis or it would be 1.