8.EE.1 Flashcard

Front

What is the property of exponents that states \(a^m \cdot a^n = a^{m+n}\)?

Back

This is known as the Product of Powers Property.

Front

What is the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\)?

Back

This is known as the Quotient of Powers Property.

Front

What is the property of exponents that states \((a^m)^n = a^{m \cdot n}\)?

Back

This is known as the Power of a Power Property.

Front

What is the value of any non-zero number raised to the power of 0?

Back

The value is 1.

Front

What is the value of \((-5.7)^0\)?

Back

The value is 1.

Front

What is the equivalent expression for \(x^0\)?

Back

The equivalent expression is 1, for any non-zero x.

Front

What is the simplified form of \(\left(x^2y^3\right)^{-2}\)?

Back

The simplified form is \(\frac{1}{x^4y^6}\).

Front

What is the simplified form of \(\left(3^2\right)^4 \cdot 3^4\)?

Back

The simplified form is \(3^{12}\).

Front

What is the simplified form of \(\frac{x^5}{x^3}\)?

Back

The simplified form is \(x^2\).

Front

What is the simplified form of \(\frac{5\left(x^3\right)^0}{15\left(y^3\right)^0}\)?

Back

The simplified form is \(\frac{1}{3}\).