0
What else can I help you with?
What does exponential form mean in math terms?
A number is in exponential form when it is written with a base and an exponent.
When you add two terms with different exponential values do you add the exponents together?
No.
What careers use exponential notation?
Most scientists use it but there are also others. Many people use the terms millions, billions and so on in finance, economics and so on and these are simply selected exponential exponential terminology.
Can you multiply like terms?
Yes.
What is the difference between exponential and polynomial time complexity?
Algorithms which have exponential time complexity grow much faster than polynomial algorithms. The difference you are probably looking for happens to be where the variable is in the equation that expresses the run time. Equations that show a polynomial time complexity have variables in the bases of their terms. Examples: n^3 + 2n^2 + 1. Notice n is in the base, NOT the exponent. In exponential equations, the variable is in the exponent. Examples: 2^n. As said before, exponential time grows much faster. If n is equal to 1000 (a reasonable input for an algorithm), then notice 1000^3 is 1 billion, and 2^1000 is simply huge! For a reference, there are about 2^80 hydrogen atoms in the sun, this is much more than 1 billion.
What is exponential time complexity and polynomial time complexity?
Algorithms which have exponential time complexity grow much faster than polynomial algorithms. The difference you are probably looking for happens to be where the variable is in the equation that expresses the run time. Equations that show a polynomial time complexity have variables in the bases of their terms. Examples: n^3 + 2n^2 + 1. Notice n is in the base, NOT the exponent. In exponential equations, the variable is in the exponent. Examples: 2^n. As said before, exponential time grows much faster. If n is equal to 1000 (a reasonable input for an algorithm), then notice 1000^3 is 1 billion, and 2^1000 is simply huge! For a reference, there are about 2^80 hydrogen atoms in the sun, this is much more than 1 billion.
How many ways can you write 58 as a quotient of two exponential terms?
To express 58 as a quotient of two exponential terms, we can represent it in the form ( \frac{a^m}{b^n} = 58 ), where ( a, b ) are bases and ( m, n ) are their respective exponents. The number of ways to do this depends on the choices of ( a ), ( b ), ( m ), and ( n ), which can vary widely. Specifically, we need pairs ( (m, n) ) such that ( a^m = 58 \cdot b^n ). The specific count of valid pairs will depend on the integer factorization of 58 and the constraints on ( a ) and ( b ). Thus, there isn't a straightforward count without additional constraints or definitions on the bases and exponents.
How do you multiply binomials?
You use the FOIL method. First terms Outer terms Inner terms Last terms.
What is the exponential notation of 4x4x4x3x3x3?
As it is given 43*33 but in terms of prime factors, it would be 26*33
What is one thousand million expressed as a product of its prime factors in exponential terms?
210 x 510
What is 3.7 billion as a product of its prime factors in exponential terms?
3.7 bilion = 28*58*37
Why can you not multiply or divide like terms?
The question cannot be answered because it is based on a complete lack of understanding. You CAN multiply or divide like terms.
