Exponential Rules (In Class) Study Guide

Front

What is the product of m^7 and m^3?

Back

m^{10}

Front

Simplify: (3f^7)(-5f^{13})

Back

-15f^{20}

Front

What is (p^4)^3 simplified?

Back

p^{12}

Front

Simplify: \frac{f}{f^4}

Back

\frac{1}{f^3}

Front

Simplify: (2w^3)^5

Back

32w^{15}

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents.

Front

What is the power of a power rule?

Back

Multiply the exponents.

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one.

Front

What is the negative exponent rule?

Back

a^{-n} = \frac{1}{a^n} for a \neq 0.