Multiplication:

While multiplying two or more numbers in scientific notation, the subsequent steps must be used.

Step 1: Multiply the decimal numbers and acquired the product.

Step 2: Multiply the powers of ten together through adding the exponents.

Step 3: Put the product in single-digit scientific notation.

Step 4: If  essential,  rewrite  decimal  with  a  single  number  to  the  left  of  the decimal point.

Example:  Multiply (3 x 10³)(5 x 10^-2)

Solution:

Step 1:  3 x 5 = 15

Step 2:  10³ x 10^-2  = 10^{3 + -2} =10¹

Step 3:  The product is:  15 x 10¹

Step 4:  = 1.5 x 10²