Scientific Notation with a Calculator
Key Questions

Expressions can be easily multiplied when written in scientific notation by:
1. First, multiplying the numbers other than the powers of 10.
2. Second, multiplying the powers of 10
And then, writing them as a product.Let us take the general case first.
Multiplying two numbers
#x*10^m# and#y*10^n# First, multiplying the numbers other than the powers of 10, we get:
#x*y=xy# Second, multiplying the powers of 10 we get
#10^m*10^n=10^(m+n)# And then writing them as a product, we get
#xy*10^(m+n)# Therefore,
#(x*10^m)*(y*10^n)=xy*10^(m+n)#
Note: When the bases of 2 numbers are equal, their powers can be added up!
Examples:
1).#2^a*2^b=2^(a+b)#
2)#3^3*3^7=3^(3+7)=3^10#
Now, let's take some specific examples.
Q: Multiply
#1.2*10^3# and#2.3*10^4# A:
#(1.2*10^3)*(2.3*10^4)#
#=(1.2*2.3)*(10^(3+4))#
#=2.76*10^7# Q: Multiply
#9.32*10^21# and#8.21*10^32# A:
#(9.32*10^21)*(8.21*10^32)#
#=(9.32*8.21)*(10^(21+32))#
#=76.5172*10^53# Notice that this answer is not in the standard form. So, converting this into standard form, we get:
#=7.65172*10^54# 
Answer:
Depends on the kind of calculator you're using..
Explanation:
But mostly you have to switch your Calculator to ENG MODE
For it to be displaying answers in Scientific Notation.
Questions
Exponents and Exponential Functions

Exponential Properties Involving Products

Exponential Properties Involving Quotients

Negative Exponents

Fractional Exponents

Scientific Notation

Scientific Notation with a Calculator

Exponential Growth

Exponential Decay

Geometric Sequences and Exponential Functions

Applications of Exponential Functions