3 Questions
Which of the following is a property of the law of exponents?
The quotient of two powers with the same base is equal to the difference of the exponents.
What is the result of multiplying 5^3 by 5^4?
5^12
What is the result of dividing (2^5)^3 by 2^2?
2^23
Study Notes
Properties of Exponents
- The law of exponents has a property that deals with the multiplication of exponential expressions with the same base.
Multiplying Exponential Expressions
- When multiplying exponential expressions with the same base, add the exponents: 5^3 × 5^4 = 5^(3+4) = 5^7.
Dividing Exponential Expressions
- When dividing exponential expressions with the same base, subtract the exponents: (2^5)^3 ÷ 2^2 = 2^(5×3) ÷ 2^2 = 2^(15-2) = 2^13.
Test your knowledge of the law of exponents with this quiz! Explore properties of exponents and solve multiplication and division problems using exponent notation.
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