Simplify Scientific Notation: 10×10^-3×10^5 Multiplication Problem

Question

Reduce the following equation:

10×103×105= 10\times10^{-3}\times10^5=

Video Solution

Solution Steps

00:00 Simply
00:04 Any number to the power of 1 is always equal to itself
00:08 We'll use this formula in our exercise, and raise to the power of 1
00:11 According to the laws of exponents, multiplication of powers with equal base (A)
00:14 equals the same base raised to the sum of the exponents (N+M)
00:17 We'll use this formula in our exercise
00:20 Note that we're adding a negative factor
00:36 Positive times negative is always negative, therefore we subtract
00:48 And this is the solution to the question

Answer

103 10^3