x(9-x-10%5E7).jpeg "(5x10^3)x(9 X 10^7)")
Simplifying Scientific Notation: (5 x 10^3) x (9 x 10^7)
This expression involves multiplying two numbers written in scientific notation. To simplify this, we need to understand the properties of exponents.
Understanding the Properties of Exponents
- Multiplying exponents with the same base: When multiplying exponents with the same base, we add the powers. For example, x^m * x^n = x^(m+n).
- Multiplying numbers in scientific notation: We multiply the coefficients and add the exponents of the powers of 10.
Simplifying the Expression
- Multiply the coefficients: 5 x 9 = 45
- Add the exponents of 10: 10^3 x 10^7 = 10^(3+7) = 10^10
The Result
Therefore, (5 x 10^3) x (9 x 10^7) = 45 x 10^10.
This can be expressed in standard scientific notation as 4.5 x 10^11.