scientific notation
4.0x10^-3x3.6x10^-3/1x10^4x4.5x10^-2
(4.0x10^-3)*(3.6x10^-3)/[(1x10^4)*(4.5x10^-2)]
= [(4.0)*(3.6)]/4.5]* 10^(-3-3-4+2)
= 3.2 * 10^-8
To simplify the expression (4.0x10^-3 * 3.6x10^-3) / (1x10^4 * 4.5x10^-2) in scientific notation, follow these steps:
Step 1: Multiply the decimal part (4.0 * 3.6) and divide the exponent part (10^-3 / (10^4 * 10^-2)).
- The decimal part of the numerator (4.0 * 3.6) equals 14.4.
- The exponent part of the denominator (10^-3 / (10^4 * 10^-2)) equals 10^-3 / 10^-6.
Step 2: Simplify the exponent part.
- Simplify 10^-3 / 10^-6 by dividing the exponents, which gives you 10^-3+6 = 10^3.
Therefore, the expression simplifies to 14.4 * 10^3 in scientific notation.