## Expressing (7 x 10^5) x (3 x 10^2) in Standard Form

This problem involves multiplying two numbers expressed in scientific notation. Here's how to solve it:

**Understanding Scientific Notation**

Scientific notation is a way to represent very large or very small numbers concisely. It takes the form of a number between 1 and 10, multiplied by a power of 10. For example, 7 x 10^5 represents the number 700,000.

**Multiplying Numbers in Scientific Notation**

**Multiply the coefficients:**7 x 3 = 21**Add the exponents:**10^5 x 10^2 = 10^(5+2) = 10^7

**Result**

The product of (7 x 10^5) and (3 x 10^2) is 21 x 10^7.

**Converting to Standard Form**

To express 21 x 10^7 in standard form, move the decimal point 7 places to the right:

21 x 10^7 = **210,000,000**

**Therefore, (7 x 10^5) x (3 x 10^2) expressed in standard form is 210,000,000.**