Math Problem Statement

Simplify the expression 4^3 - (24 ÷ 6) + 8.

Solution

The expression given in the image is:

43(246)+84^3 - \left( \frac{24}{6} \right) + 8

Step-by-Step Solution:

  1. Evaluate the exponent: 43=4×4×4=644^3 = 4 \times 4 \times 4 = 64.

  2. Simplify the division inside the parentheses: 246=4\frac{24}{6} = 4.

  3. Substitute these values back into the expression: 644+864 - 4 + 8

  4. Perform the subtraction: 644=6064 - 4 = 60.

  5. Perform the addition: 60+8=6860 + 8 = 68.

Final Answer:

6868

Would you like more details on any part of this solution?

Here are 5 related questions you might find helpful:

  1. What are the rules of the order of operations (PEMDAS)?
  2. How do exponents work in more complex equations?
  3. How can you simplify algebraic expressions with multiple operations?
  4. What are some common mistakes made in order of operations?
  5. How do parentheses affect the order of calculations in an equation?

Tip: Always handle parentheses first when solving an expression, following the order of operations (PEMDAS).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponents
Order of Operations
Arithmetic

Formulas

Exponentiation: a^n = a * a * ... (n times)
Division

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7