Simplify the Expression: 2^(2x+1) · 2^5 · 2^(3x)

Question

22x+1⋅25⋅23x= 2^{2x+1}\cdot2^5\cdot2^{3x}=

Video Solution

Solution Steps

00:00 Simplify the expression
00:03 When multiplying powers with the same base, add the exponents
00:07 This formula applies to any number of bases
00:12 We'll use this formula in our exercise
00:17 Let's sum all the exponents
00:25 Let's group the factors
00:36 And this is the solution to the question

Step-by-Step Solution

Since the bases are the same, the exponents can be added:

2x+1+5+3x=5x+6 2x+1+5+3x=5x+6

Answer

25x+6 2^{5x+6}

More Questions

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