Math Problem Statement

3(2)^5

Solution

To evaluate the expression 3(2)53(2)^5:

  1. First, calculate 252^5, which means raising 2 to the power of 5: 25=2×2×2×2×2=322^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32

  2. Now, multiply the result by 3: 3×32=963 \times 32 = 96

Thus, 3(2)5=963(2)^5 = 96.

Would you like more details on exponents or any part of the process?

Here are some related questions:

  1. What is the value of 3(26)3(2^6)?
  2. How do you simplify expressions with exponents like (am)n(a^m)^n?
  3. Can you calculate 454^5 and 545^4? Which is larger?
  4. What is the general rule for multiplying powers of the same base?
  5. How does the order of operations affect expressions like 3(25)3(2^5)?

Tip: Remember, exponents are handled first in an expression according to the order of operations (PEMDAS).

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Math Problem Analysis

Mathematical Concepts

Exponentiation
Order of Operations
Multiplication

Formulas

a^n = a * a * ... * a (n times)
PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

Theorems

Exponentiation Properties
Order of Operations

Suitable Grade Level

Grades 5-7