Operations with Scientific Notation (Written in Scientific Notation)
Scientific Notation and Standard Notation
Simplifying with Exponents
Exponent Rules
Operations With Exponents
100
(3 x 10^5)(2 x 10^12)
What is 6 x 10^17
100
This is 52,700,000 written in scientific notation.
What is 5.27*10^7
100
(6)^-2
What is 1/36
100
In this rule if we multiply with common bases we do this.
What is add exponents
100
x * x^2
What is x^3
200
(5 x 10^9)(7 x 10^3)
What is 3.5 x 10^13
200
This is .000048 written in scientific notation.
What is 4.8 * 10^-5
200
(8x)^0
What is 1
200
In this rule if we divide, we do this to the exponents
What is subtract.
200
7x^3 * x^2
What is 7x^5
300
8 * (9 x 10^4)
What is 7.2 * 10^5
300
This is 9.5 * 10^4 written in standard notation.
What is 95,000
300
-4x^0
What is -4
300
When we have a power to a power we do this with our exponents.
What is multiply
300
1/3x^2 * 12x^-3 written with no negative exponents
What is 4/x
400
(6 x 10^8) / (2 x 10^6)
What is 3 x 10^2
400
This is 1.23 * 10 ^ -5 written in standard notation.
What is .0000123
400
(x^6 y^3) * (x^5 y^5)
What is x^11 y^8
400
Anything to this power is equivalent to one.
What is zero.
400
-mx^2 * 5m^3x^-2
What is -5m^4
500
(2 x 10^-2) / (4 x 10^3)
What is 5 x 10^-6
500
This is 524 * 10^5 written in scientific notation.
What is 5.24 * 10^7
500
(x^7 y^8) * (x^-5 y^-8)
What is x^2
500
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.
500
(3x)^2 * (2x^5)^3
What is 72x^17
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