Pre-Algebra Exponent Rules Flashcards

Questions and Answers

What is the property of exponents that expresses a power raised to another power?

Multiplication Property

Division Property

Zero Exponent Property

Power of a Power Property (correct)

What is the Division Property of Exponents?

The Division Property of Exponents states that when dividing two powers with the same base, you subtract the exponents.

What is the Multiplication Property of Exponents?

The Multiplication Property of Exponents states that when multiplying two powers with the same base, you add the exponents.

Define the Zero Exponent Property.

The Zero Exponent Property states that any non-zero base raised to the power of zero equals one. Signup and view all the answers

What does the Power of a Quotient Property of Exponents state?

The Power of a Quotient Property of Exponents states that when raising a quotient to a power, you apply the exponent to both the numerator and denominator. Signup and view all the answers

Explain the Power of a Product Property of Exponents.

The Power of a Product Property of Exponents states that when raising a product to a power, you apply the exponent to each factor in the product. Signup and view all the answers

What is the Negative Exponent Property?

The Negative Exponent Property states that a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. Signup and view all the answers

Study Notes

Power of a Power Property of Exponents

When raising a power to another power, multiply the exponents.
Example: ((a^m)^n = a^{m \cdot n})

Division Property of Exponents

When dividing two powers with the same base, subtract the exponents.
Example: (\frac{a^m}{a^n} = a^{m-n})

Multiplication Property of Exponents

When multiplying two powers with the same base, add the exponents.
Example: (a^m \cdot a^n = a^{m+n})

Zero Exponent Property

Any non-zero base raised to the power of zero equals one.
Example: (a^0 = 1) (where (a \neq 0))

Power of a Quotient Property of Exponents

When raising a quotient to a power, apply the exponent to both the numerator and denominator.
Example: (\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n})

Power of a Product Property of Exponents

When raising a product to a power, apply the exponent to each factor in the product.
Example: ((ab)^n = a^n \cdot b^n)

Negative Exponent Property

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.
Example: (a^{-n} = \frac{1}{a^n}) (where (a \neq 0))

Description

Test your understanding of exponent rules with these flashcards designed for pre-algebra. Each card covers a different property of exponents, helping you master the foundational concepts necessary for algebra. Perfect for quick reviews and memorization.