Exponent Rules

Front

The Quotient of Powers Property says, "to divide powers with the same base, _________ the exponents."

Back

Subtract

Front

What is the value of (xyz)^0?

Back

1

Front

When using the Power to a Power rule, what do you do with the exponents? ex. (x^9)^{12}

Back

Multiply the exponents.

Front

Simplify: x^{10}⋅x^{4}

Back

x^{14}

Front

What is the value of 16^{-5}?

Back

\frac{1}{16^{5}}

Front

What does the Product of Powers Property state?

Back

To multiply powers with the same base, add the exponents.

Front

Simplify: (a^m)(a^n)

Back

a^{m+n}

Front

What is the value of x^0?

Back

1, for any x ≠ 0.

Front

What does the Negative Exponent Rule state?

Back

a^{-n} = \frac{1}{a^{n}}.

Front

Simplify: (x^3)^4

Back

x^{12} (multiply the exponents)