Operations with Scientific Notation (Written in Scientific Notation)
(3 x 105)(2 x 1012)
What is 6 x 1017
This is 52,700,000 written in scientific notation.
5.27 x 107
Simplify and write answer using positive exponents if necessary.
(6)-2
What is
1/36
In this rule if we multiply with common bases we do this.
add the exponents
(5 x 109)(7 x 103)
What is 3.5 x 1013
This is .000048 written in scientific notation.
4.8 x 10-5
Simplify and write answer using positive exponents.
(8x)-2
1/64x2
In this rule if we divide, we do this to the exponents
subtract
(7.1 ×10-5)× (6.7 ×10-6 )
4.757 x 10-10
Find the quotient.
(9 x 10-5)/(18 x 10-6)
9.74 x 100
(-4xy0)3
-64x3
When we have a power to a power we do this with our exponents.
multiply
(6 x 108) / (2 x 106)
What is 3 x 102
This is 1.23 x 10 -5 written in standard notation.
0.0000123
Simplify and write answer using positive exponents.
(x6 y3)(x5 y-5)
x11 / y2
(2 x 10-2) / (6 x 103)
What is 3.333 x 10-6
(3x)^2(2x^5)^3
72x17
(14x7 y8)
/
(56x-5 y11)
x12/4y3