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.
What is 5.27*107
(6)-2
What is 1/36
In this rule if we multiply with common bases we do this.
What is add exponents
x * x2
What is x3
(5 x 109)(7 x 103)
What is 3.5 x 1013
This is .000048 written in scientific notation.
What is 4.8 * 10-5
(8x)0
What is 1
In this rule if we divide, we do this to the exponents
What is subtract.
7x3 * x2
What is 7x5
Evaluate (6.2*104)-(2*103)+4291
What is 64, 291
or 6.4291*104
This is 9.5 * 104 written in standard notation.
What is 95,000
When we have a power to a power we do this with our exponents.
What is multiply
1/3x2 * 12x-3 written with no negative exponents
What is 4/x
(6 x 108) / (2 x 106)
What is 3 x 102
This is 1.23 * 10-5 written in standard notation.
What is .0000123
(x6 y3) * (x5 y5)
What is x11y8
Anything to this power is equivalent to one.
What is zero.
-mx2 * 5m3x-2
What is -5m4
(2 x 10-2) / (4 x 103)
What is 5 x 10-6
This is 524 * 105 written in scientific notation.
What is 5.24 * 107
(x7 y8) * (x-5 y-8)
What is x2
As exponents increase by one we multiply the base one more time to simplify, so therefore if we decrease the exponent by one we do this.
What is divide by the base.
(3x)2 * (2x5)3
What is 72x17