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What is the definition for division property of exponents?
When dividing numbers with exponents, subtract the bottom exponent from the top exponent.
Who created the rules for multiplying and dividing exponents?
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
What is the math definition of Negative Exponent Property?
property of negative exponents
What is the definition for power in math term?
power in a math term is when you multiply the exponents
Why do you subtract exponents when you dividing powers?
When dividing powers with the same base, you subtract the exponents to simplify the expression based on the properties of exponents. This is derived from the definition of exponents, where dividing (a^m) by (a^n) (both with the same base (a)) can be thought of as removing (n) factors of (a) from (m) factors of (a), resulting in (a^{m-n}). This rule helps maintain consistency and simplifies calculations involving powers.
What is the definition for division property of exponents?
When dividing numbers with exponents, subtract the bottom exponent from the top exponent.
Who created the rules for multiplying and dividing exponents?
It wasn't necessary to 'create' any rules. They follow logically from the definition of exponents.
What is the math definition of Negative Exponent Property?
property of negative exponents
Why do you think the definition for polynomials is so restrictive?
The definition for polynomials is very restrictive. This is because it will give more information. It excludes radicals, negative exponents, and fractional exponents. When these are included, the expression becomes rational and not polynomial.
What is the definition for power in math term?
power in a math term is when you multiply the exponents
What are exponents in math?
An integer exponent is a count of the number of times a particular number (the base) must be multiplied together. For example, for the base x, x^a means x*x*x*...*x where there are a lots of x in the multiplication. The definition is simple to understand for integer values of the exponent. This definition gives rise to the laws of exponents, and these allow this definition to be extended to the case where the exponents are negative, fractions, irrational and even complex numbers.
Why do you subtract exponents when you dividing powers?
When dividing powers with the same base, you subtract the exponents to simplify the expression based on the properties of exponents. This is derived from the definition of exponents, where dividing (a^m) by (a^n) (both with the same base (a)) can be thought of as removing (n) factors of (a) from (m) factors of (a), resulting in (a^{m-n}). This rule helps maintain consistency and simplifies calculations involving powers.
Why cant a polynomial have a negative exponents?
A polynomial is defined as a mathematical expression consisting of variables raised to non-negative integer exponents and combined using addition, subtraction, and multiplication. Negative exponents would imply division by the variable raised to a positive power, which leads to fractional terms that are not permitted in the definition of polynomials. Thus, having negative exponents would disqualify an expression from being classified as a polynomial.
When a negative exponent has no meanig but is introduced to complete the set of exponents?
It certainly has a meaning. It is only meaningless if you consider powers as repeated multiplication; but the "extended" definition, for negative and fractional exponents, makes a lot of sense, and it is regularly used in math and science.
If two exponents have the same factor or base what happens to the exponents when the exponents are multipled?
The exponents are added.
When adding numbers with exponents do you add or subtract the exponents?
you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
What is the definition of dissimilar term in algebra?
dissimilar terms are terms that do not have the same variable or the variable do not contain the same number of exponents
