3 Vocabulary Terms - Define/Illustrate
What Two operations can you apply Exponent Rules?
How are exponent rules different from operation rules with numbers?
1) Exponentiation: This is the operation of raising a number to a power. It involves multiplying the base number by itself for the number of times indicated by the exponent. For example, in the expression 2^3, the base number is 2 and the exponent is 3. To calculate the value, we multiply 2 by itself three times, resulting in 2^3 = 2 x 2 x 2 = 8.
2) Product of Powers Rule: This exponent rule states that when multiplying two powers with the same base, you can add the exponents together. For example, (3^2) x (3^3) can be simplified using this rule: (3^2) x (3^3) = 3^(2+3) = 3^5.
3) Quotient of Powers Rule: This exponent rule states that when dividing two powers with the same base, you can subtract the exponent of the divisor from the exponent of the dividend. For example, (5^4) / (5^2) can be simplified using this rule: (5^4) / (5^2) = 5^(4-2) = 5^2.
Exponent rules differ from operation rules with numbers in that they specifically deal with the manipulation and simplification of powers, while operation rules with numbers generally involve addition, subtraction, multiplication, and division of whole numbers or decimals. Exponent rules provide a set of guidelines for efficiently handling expressions involving exponents.