exponents

What is an exponent?

An exponent indicates how many times the base number is multiplied by itself. It is also known as the index or power.

• Base: The number being multiplied (e.g., in a^n, a is the base).
• Exponent: The small number written above and to the right of the base (e.g., in a^n, n is the exponent).
• Power: The entire expression (a^n) is called a power.

What is the Product Rule of Exponents?

The Product Rule states that when multiplying powers with the same base, you add the exponents:
a^m \cdot a^n = a^{m+n}

What is the Quotient Rule of Exponents?

The Quotient Rule states that when dividing powers with the same base, you subtract the exponents:
\frac{a^m}{a^n} = a^{m-n} (where a \neq 0)

What is the Power Rule of Exponents?

The Power Rule states that when raising a power to another power, you multiply the exponents:
(a^m)^n = a^{m \cdot n}