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

Question

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

Video Solution

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

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

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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