Math Problem Statement

Use a calculator to work out (3.4 × 10^8 × 8.2 × 10^9) ÷ (5.7 × 10^-3 − 9.6 × 10^-4). Give your answer in standard form to 2 significant figures.

Solution

Let's solve this step by step. The given expression is:

[ \frac{(3.4 \times 10^8) \times (8.2 \times 10

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Division and Multiplication of Powers of 10

Formulas

a × 10^n × b × 10^m = (a × b) × 10^(n + m)
a ÷ b = a × (1 / b)

Theorems

Properties of Exponents

Suitable Grade Level

Grades 9-11