Math Problem Statement

Solve the given math problems including operations with powers, roots, percentages, and fractions as shown in the uploaded image.

Solution

Let me analyze the image and solve the questions provided.### Q1. Solve
32×384÷34×216÷25=2x32 \times 384 \div 3^4 \times 216 \div 2^5 = 2^x
We solve step by step:

  1. 34=813^4 = 81 and 25=322^5 = 32.
    Substitute these values:
    [ 32 \times 384 \div 81 \times 216 \div

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Math Problem Analysis

Mathematical Concepts

Powers and Exponents
Square Roots
Percentages
Fractions
Order of Operations

Formulas

a^b = a raised to the power b
Square root formula: √x
Percentage formula: (part/whole) × 100
Order of operations (PEMDAS)

Theorems

Properties of Exponents
Basic Arithmetic Theorems

Suitable Grade Level

Grades 8-10