SOLUTION: 6x10(4 exponent) 2x10(-5 exponent) is equal to 3x10 (9 exponent) and is equal to 3,000,000,000 my question: why isn't the exponent a negative 9 on 3x10 (9 exponent)? and w

Algebra ->  Exponents -> SOLUTION: 6x10(4 exponent) 2x10(-5 exponent) is equal to 3x10 (9 exponent) and is equal to 3,000,000,000 my question: why isn't the exponent a negative 9 on 3x10 (9 exponent)? and w      Log On


   

Question 175574This question is from textbook barrons algebra he easy way
: 6x10(4 exponent)
2x10(-5 exponent)
is equal to 3x10 (9 exponent)
and is equal to 3,000,000,000
my question:
why isn't the exponent a negative 9 on 3x10 (9 exponent)? and why are we not using a decimal point here like we would in example:
8x10 (-9 exponent)
4x10 (3 exponent)
is equal to 2x10(-12 exponent)
is equal to 0.000000000002 This question is from textbook barrons algebra he easy way

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Think about it.
You're dividing a large number (60000) by a much smaller number less than 1 (0.00002).
You will get an even larger number.
As an example:
2%2F%281%2F4%29=8
.
.
.
Let's go through it step-by-step,
%286%2A10%5E4%29%2F%282%2A10%5E%28-5%29%29=%286%2F2%29%2A%2810%5E4%2F10%5E%28-5%29%29
The rule of dividing exponential expressions is,
X%5Ea%2FX%5Eb=X%5E%28a-b%29
%286%2A10%5E4%29%2F%282%2A10%5E%28-5%29%29=%286%2F2%29%2A%2810%5E4%2F10%5E%28-5%29%29
%286%2A10%5E4%29%2F%282%2A10%5E%28-5%29%29=%283%29%2A%2810%5E%284-%28-5%29%29%29%29
%286%2A10%5E4%29%2F%282%2A10%5E%28-5%29%29=%283%29%2A%2810%5E%289%29%29%29%29
%286%2A10%5E4%29%2F%282%2A10%5E%28-5%29%29=3%2A10%5E%289%29
.
.
.
Similarly.
%288%2A10%5E%28-9%29%29%2F%284%2A10%5E3%29=%288%2F4%29%2A%2810%5E%28-9%29%2F10%5E%283%29%29
%288%2A10%5E%28-9%29%29%2F%284%2A10%5E3%29=%282%29%2A%2810%5E%28-9-3%29%29
%288%2A10%5E%28-9%29%29%2F%284%2A10%5E3%29=2%2A10%5E%28-12%29