Properties of Exponents

Front

What is the value of -4x^0?

Back

-4

Front

Simplify the expression \(\left(\frac{xy^4}{2x^2y^2}\right)^4\)

Back

\(\frac{y^8}{16x^4}\)

Front

What is \((2x^3y)^6\) simplified?

Back

64x^{18}y^6

Front

Simplify the expression: 5c a^5 b^4

Back

a^5 b^4 5c

Front

Simplify \(\frac{x^{-7}}{x^4}\)

Back

\(\frac{1}{x^{11}}\)

Front

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

Back

Product of Powers Property

Front

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

Back

Quotient of Powers Property

Front

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

Back

Power of a Power Property

Front

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

Back

1

Front

What is the value of \(x^{-n}\)?

Back

\(\frac{1}{x^n}\) for any non-zero x