We use this notation to write very large or very small numbers.
What is scientific notation?
100
For the following questions, you will be given a number in standard form and a base with which to express that number in exponential form. You are to give the response in exponential notation.
Standard Notation: 125 Base: 5
What is 5^3?
100
Time wrote this number as (-2)^4 and was correct in doing so.
What is 16?
200
10^7
What is 10 * 10 * 10 * 10 * 10 * 10 * 10?
200
3^3
What is 27?
200
This power of 10 is equal to one million.
What is 10^6?
200
Standard Notation: 64
Base: 2
What is 2^6
200
When you have a negative factor with this type of exponent, you will always get a positive product.
What is an even number?
300
(2.5)^5
What is (2.5)(2.5)(2.5)(2.5)(2.5)?
300
2^4
What is 16?
300
In exponential notation, it is 10^9.
What is one billion?
300
Standard Notation: 81
Base: Choose your own
What is 9^2 or 3^4
300
When have a negative factor with an exponent of this type, you will always have a negative product.
What is an odd number?
400
a^m
What is (a x...x a) "m times"?
400
25
What is 5^2?
400
In scientific notation it is 9.765625 x 10^6.
What is 9,765,625 in scientific notation?
400
Standard Notation: 256
Base: Choose your own
What is 2^8?
400
When written in the following way, the product is this sign.
(-3)^9
What is negative?
500
(- 11/5)x...x(-11/5) "n times"
What is (-11/5)^n?
500
Any number, n^0
What is 1?
500
In scientific notation, it is 5.4 x 10^-5.
What is .000054?
500
This base to the 10th power gives 1,024.
What is 2?
500
1,024 be written with a negative base if you write it this way.