Math Problem Statement

(2×10@Sup{5})(9×10@Sup{4})

Solution

The expression you've provided appears to be:

(2×105)(9×104)(2 \times 10^5)(9 \times 10^4)

To solve this:

  1. Multiply the constants: 2×9=182 \times 9 = 18
  2. Add the exponents (since both terms are powers of 10): 105×104=105+4=10910^5 \times 10^4 = 10^{5+4} = 10^9

So the result is:

18×10918 \times 10^9

This can also be written in scientific notation as:

1.8×10101.8 \times 10^{10}

Let me know if you'd like more details or have any questions! Here are some related questions you might find useful:

  1. How do you multiply numbers in scientific notation?
  2. What are some rules for adding and subtracting exponents?
  3. What is the difference between scientific notation and standard form?
  4. How do you convert scientific notation to standard form?
  5. How do you divide numbers in scientific notation?

Tip: Always check the exponents when multiplying or dividing powers of 10, since they follow specific rules for adding or subtracting.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Exponentiation
Multiplication of Powers of 10

Formulas

(a × 10^n) × (b × 10^m) = (a × b) × 10^(n + m)

Theorems

Multiplication of powers of 10

Suitable Grade Level

Grades 6-8