3 Vocabulary Terms - Define/Illustrate
Like Bases
product
Exponent Rule: Multiplying like bases
1) Like bases: In mathematics, like bases refer to numbers that have the same base. For example, in the expression 2^3 * 2^2, the bases are both 2.
Illustration: Consider the expression 5^4 * 5^2. Here, the bases are both 5 since both terms have the number 5 raised to a power.
2) Product: In mathematics, a product refers to the result of multiplying two or more numbers together. It is the answer obtained when two or more factors are multiplied.
Illustration: If we multiply 3 and 4 together, the product is 12. Similarly, if we multiply 2, 3, and 5 together, the product is 30.
3) Exponent Rule: Multiplying like bases: This exponent rule states that when multiplying like bases with different exponents, the base remains the same and the exponents are added together.
Illustration: Consider the expression 2^3 * 2^2. According to the exponent rule, when multiplying two like bases (in this case, both have a base of 2), we add the exponents. So, 2^3 * 2^2 equals 2^(3+2) which simplifies to 2^5.