Simplify the Exponential Product: 3^x ⋅ 2^x ⋅ 3^(2x)

Question

$3^x\cdot2^x\cdot3^{2x}=$

Video Solution

Solution Steps

00:00 Simplify the expression

00:02 When multiplying powers with the same base, we add the exponents

00:05 And this is the solution to the question

Step-by-Step Solution

In this case we have 2 different bases, so we will add what can be added, that is, the exponents of $3$

$3^x\cdot2^x\cdot3^{2x}=2^x\cdot3^{3x}$

Answer

$3^{3x}\cdot2^x$

More Questions

Multiplication of Powers

Applying Combined Exponents Rules

Exponents Rules

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Multiplying Exponents with the Same Base

Question Types

Applying Combined Exponents Rules: Variables in the exponent of the power Multiplication of Powers: Variables in the exponent of the power