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Is it possible for a large prime number to be expressed as a large integer raised to a very large power?
No. Any number raised to a power is not prime.
How much is any integer raised to the zero power?
Any integer raised to the power of zero is 1.
Do a negative integer raised to an even power always results in a positive integer?
Yes.
Why does a negative integer raised to an even power always result in a negative integer?
A negative integer raised to an even power results in a positive integer, not a negative integer. This occurs because multiplying a negative number by itself an even number of times cancels out the negative signs. For example, ((-2)^2 = 4) and ((-3)^4 = 81), both of which are positive. Therefore, the statement is incorrect; a negative integer raised to an even power is always positive.
Is a to the 3rd power greater than or equal to a for all integer values of A and why?
No. A negative integer raised to the third power will yield a negative number that is less than the integer. Only whole numbers (positive integers greater than or equal to 1) have the property where that integer raised to the third power is greater than or equal to the integer.
What are variable raised to whole number powers?
They are the integer powers of that variable.
How is a negative integer power on a base related to the corresponding positive integer power on that base?
A negative integer power of a base is the reciprocal of the base raised to the corresponding positive integer power. For example, ( a^{-n} = \frac{1}{a^n} ), where ( a ) is the base and ( n ) is a positive integer. This relationship shows that as the exponent decreases into the negatives, the value of the expression represents a division by the base raised to the positive power.
Is 5000 the power of 10?
No, 5000 is not a power of 10. A power of 10 is expressed as 10 raised to an integer exponent, such as (10^0 = 1), (10^1 = 10), (10^2 = 100), and so on. While 5000 can be expressed in scientific notation as (5 \times 10^3), it is not a direct power of 10 itself.
When a number is raised to a power this number is multipled by itself the number of times the power indicates?
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
Can a prime number be written as an integer raised to a large power?
no nothing can be multiplied to get a prime number
How do you determine if a number is in scientific notation?
A scientific number is expressed in the form a*10^b where where a is a number written in decimal form and 1
What does exponential mean?
Numbers that are raised to an exponent either increase or decrease at an extremely fast rate.
