Review Flashcard 15.1&15.2 Product & Quotient Laws of Exponents (M7H)

Front

What is the Product Law of Exponents?

Back

The Product Law of Exponents states that when multiplying two powers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

Solve using the Product Law of Exponents: (5^5)(5^3)

Back

5^8

Front

What is the Quotient Law of Exponents?

Back

The Quotient Law of Exponents states that when dividing two powers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: (c^5)(c^3)(c^3)

Back

c^11

Front

What happens when you raise a number to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1: a^0 = 1.

Front

Simplify: (-1/2)^0

Back

1

Front

Write the expression using positive exponents: (-2m^2n)(-8m^5n^3)

Back

16m^7n^4

Front

What is the result of multiplying two negative numbers?

Back

The product of two negative numbers is positive.

Front

Simplify: \frac{12a^2b^8}{24a^4b^2}

Back

\frac{b^6}{2a^2}.

Front

What is the result of multiplying powers with the same base?

Back

You add the exponents.