Exponent Rules

Front

What happens to the exponents when we raise a power to a power? Example: (d^2)^5

Back

We multiply the exponents.

Front

Simplify x^{-6}

Back

\frac{1}{x^6}

Front

What happens to the exponents when we divide two powers with the same base? Example: \frac{h^8}{h^3}

Back

We subtract the exponents.

Front

Simplify \frac{x^5}{x^3}

Back

x^2

Front

Simplify the expression using the quotient rule: \frac{6^{26}}{6^4}

Back

6^{22}

Front

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

Back

We add the exponents.

Front

What is the exponent rule for raising a product to a power? Example: (ab)^n

Back

(ab)^n = a^n * b^n

Front

What is the exponent rule for raising a quotient to a power? Example: (\frac{a}{b})^n

Back

(\frac{a}{b})^n = \frac{a^n}{b^n}

Front

What is the value of 2^3?

Back

8

Front

What is the value of 5^0?

Back

1