Math Problem Statement

2x x 3^3 x 2^5=

Solution

Let's simplify the given expression:

2x×33×252x \times 3^3 \times 2^5

Step-by-step:

  1. Simplify the powers first:

    • 33=273^3 = 27
    • 25=322^5 = 32
  2. Now, rewrite the expression: 2x×27×322x \times 27 \times 32

  3. Multiply the constants together: 2×27=542 \times 27 = 54 54×32=172854 \times 32 = 1728

  4. So, the expression simplifies to: 1728x1728x

The final result is: 1728x1728x

Would you like further details or have any questions?

Here are 5 related questions to explore further:

  1. How do you simplify expressions with multiple exponents?
  2. What are the properties of exponents and how are they applied in expressions?
  3. How would the result change if one of the powers had been negative?
  4. How can this process be applied to expressions with variables raised to a power?
  5. How do you factor expressions involving exponents?

Tip: Always simplify exponents first in an expression before multiplying or combining terms!

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponents
Multiplication of Constants

Formulas

Exponentiation: a^n means multiplying 'a' by itself 'n' times
Multiplication: combine constants by multiplying their values

Theorems

Laws of Exponents: Product of Powers

Suitable Grade Level

Grades 6-8