Math Problem Statement

Which of the following is equivalent to 4×4×4×4×4×4?

Select the correct answer below:

48

46

47

44

45

64

Solution

To find the value equivalent to 4×4×4×4×4×44 \times 4 \times 4 \times 4 \times 4 \times 4, we rewrite the expression in exponential form:

4×4×4×4×4×4=464 \times 4 \times 4 \times 4 \times 4 \times 4 = 4^6

The correct answer is 464^6.

Correct Option: 464^6

Would you like further clarification or additional examples?

Related Questions:

  1. What is 464^6 evaluated to a numerical value?
  2. How does exponential notation simplify long multiplication?
  3. What is the difference between 464^6 and 646^4?
  4. How can you break down 464^6 into smaller steps to calculate it?
  5. How do the properties of exponents apply to solving this problem?

Tip: Exponential notation is a compact way to represent repeated multiplication of the same base.

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Math Problem Analysis

Mathematical Concepts

Exponential Notation
Repeated Multiplication

Formulas

a^n = a × a × ... × a (n times)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 6-8