Math Problem Statement

(92 + 8^2) - 144 ÷ 12 =

Solution

Let's solve the expression:

(92+82)14412(92 + 8^2) - \frac{144}{12}

Step-by-Step Solution:

  1. Evaluate 828^2: 82=648^2 = 64 So, the expression becomes: (92+64)14412(92 + 64) - \frac{144}{12}

  2. Calculate 92+6492 + 64: 92+64=15692 + 64 = 156 Now we have: 15614412156 - \frac{144}{12}

  3. Evaluate 14412\frac{144}{12}: 14412=12\frac{144}{12} = 12 Substitute this into the expression: 15612156 - 12

  4. Final Calculation: 15612=144156 - 12 = 144

Answer:

144144

Would you like further details or have any questions?


Here are five related questions to practice:

  1. What is the value of (50+52)100÷5(50 + 5^2) - 100 \div 5?
  2. Simplify (45+92)81÷9(45 + 9^2) - 81 \div 9.
  3. Solve (25+102)200÷20(25 + 10^2) - 200 \div 20.
  4. Calculate (30+62)48÷4(30 + 6^2) - 48 \div 4.
  5. What is the result of (70+72)63÷7(70 + 7^2) - 63 \div 7?

Tip: Remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) in complex expressions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Exponents
Division
Addition
Subtraction

Formulas

a^b for exponents
a ÷ b for division

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 5-7