What is how to multiply exponents?

Here's a guide to multiplying exponents:

When multiplying exponents with the same base, you add the exponents. This is often referred to as the "product of powers" rule.

• Rule: x^m * xⁿ = x^m+n

• Example: 2³ * 2² = 2³⁺² = 2⁵ = 32

When multiplying exponents with the different bases and the same exponents, you multiply the bases and keep the exponent.

• Rule: aⁿ * bⁿ = (a*b)ⁿ

• Example: 2³ * 3³ = (2*3)³ = 6³ = 216

Important Considerations:

• The bases must be the same to add the exponents directly. If the bases are different and the exponents are different, you cannot simplify in this way.
• Remember that x¹ = x. So, if you see a variable or number without an exponent, it's implicitly raised to the power of 1.
• This rule only applies to multiplication, not addition or subtraction. You cannot directly simplify x^m + xⁿ.