Properties of Exponents Worksheet Answer Key

Are you a student or teacher looking for a comprehensive answer key for properties of exponents worksheets? Look no further! In this blog post, we will provide you with an entity that covers all the essential concepts and answers for properties of exponents worksheets. With this resource, you can easily navigate through various worksheet exercises and their corresponding solutions, making your learning or teaching experience more efficient and effective.

  Exponents Worksheets

---

  Exponential Equations Worksheets with Answers

---

  Algebra 2 Factoring Polynomials Worksheet with Answers

---

  Exponent Practice Worksheet

---

  8th Grade Math Worksheets Algebra

---

  Operations with Scientific Notation Worksheet

---

  Math and Subtraction Worksheets

---

  Order of Operations Worksheets 6th Grade

---

  8th Grade Math Worksheets

---

  8th Grade Math Problems Worksheets

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

  Kuta Software Infinite Algebra 1

---

What is the property of exponents that states a^m * a^n = a^(m+n)?

The property of exponents that states a^m * a^n = a^(m+n) is called the Product Rule of Exponents. This rule explains that when two exponents with the same base are multiplied together, the result is the base raised to the sum of the exponents.

What is the property of exponents that states (a^m)^n = a^(mn)?

The property of exponents that states (a^m)^n = a^(mn) is known as the power of a power rule. This rule allows us to simplify expressions where an exponent is raised to another exponent by multiplying the two exponents together to obtain a single exponent.

What is the property of exponents that states a^m / a^n = a^(m-n)?

The property of exponents that states a^m / a^n = a^(m-n) is called the Quotient Rule of Exponents. It signifies that when dividing two powers with the same base, we can subtract the exponent of the divisor from the exponent of the dividend to find the result.

What is the property of exponents that states (ab)^n = a^n * b^n?

The property of exponents that states (ab)^n = a^n * b^n is the product of powers property. This property allows us to distribute the exponent outside the parentheses to each term inside the parentheses when raising a product of numbers to a power.

What is the property of exponents that states (a^n)^m = a^(nm)?

The property of exponents that states (a^n)^m = a^(nm) is known as the Power of a Power Rule. This rule indicates that when a base with an exponent is raised to another exponent, the exponents can be multiplied together to simplify the expression, resulting in the base raised to the product of the exponents.

What is the property of exponents that states a^(-n) = 1 / a^n?

The property of exponents that states a^(-n) = 1 / a^n is the negative exponent rule. This rule states that when a negative exponent is applied to a base, it is equivalent to taking the reciprocal of the base raised to the positive exponent. In other words, a^-n = 1/a^n.

What is the property of exponents that states (a/b)^n = a^n / b^n?

The property of exponents that states (a/b)^n = a^n / b^n is known as the quotient rule of exponents. This rule allows us to simplify expressions involving division by dividing the base and raising both the numerator and denominator to the power of n separately.

What is the property of exponents that states (a^m)^n = a^(mn)?

The property of exponents that states (a^m)^n = a^(mn) is called the Power of a Power Rule. This rule allows us to simplify expressions with multiple exponents by raising the base to the product of the exponents.

What is the property of exponents that states a^0 = 1?

The property of exponents that states a^0 = 1 is called the zero exponent rule. This rule indicates that any non-zero base raised to the power of zero equals 1.

What is the property of exponents that states a^1 = a?

The property of exponents that states a^1 = a is called the "power of one rule". This rule states that any number raised to the power of one is equal to the number itself. In other words, when a number is raised to the first power, the result is always the same number.