What is an exponent? An exponent includes a base, ( the number being multiplied by itself), and the exponent, or power, which is the amount of times the base is being multiplied. The exponent tells you how many copies of the base you need to make. so this is 5 and 6 copies of 5
Exponents are very lazy, and they don’t do as you want them to, so you have to remember to put brackets around them so they are reminded to multiply.
How do you evaluate an expression with exponents? In order to evaluate expressions, you can use either of methods, or rules. The division rule, the multiplication rule, power of a power, and the 0 law.
- The multiplication law is quite simple, if the base is the same, you merely add the exponents together, and the combined result of the exponents is placed over the base. If the bases are not the same, this rule does not apply for the equation.
- The division law is about the same thing. If the base is the same, you subtract the exponents from one another, left to right, and the leftover is placed back on top with the base.
- Power of a power is when the base has an exponent with another exponent around the first exponent in brackets. The exponents must always be multiplied.
- 0 law is when the exponent has 0 copies, the answer is always 1.
is 5 to the 5th power. People assume that the answer is 25 because 5x 5 is 25, but 5 to the 5th is 5, with 5 copies.
Bedmas can be very important while dealing with exponents, and here is a question that includes each rule.