Edvard Larouge
Rene' Descartes
The exponents are added.
You can have negative exponents anywhere. When they are in the denominator, they are equivalent to positive exponents in the numerator of a fraction.
You add the exponents- x^2*x^6=x^8
You sole exponents by multiplying the hole number by the exponent.
ummm........ i forget
Rene' Descartes
Archimedes is said to have invented exponents to express very large numbers. A passage from The Sand Reckoner is offered as evidence. To say that he invented exponents is a stretch of the facts; but he was aware of the concepts involved.
Exponents can simplify very ugly math problems and their relation to logarithms makes them invaluable. FYI logarithms were invented before exponents.
Because the expressions are undefined for base = 0.
Exponents and Logarithms work well together because they "undo" each other (so long as the base "a" is the same).
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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.
To develop and use the properties of integer exponents, start by familiarizing yourself with the basic rules: the product of powers, quotient of powers, power of a power, and the power of a product. These rules can be applied to simplify expressions involving exponents, such as combining like bases or dividing terms. Practice through various problems helps reinforce these concepts and allows for more complex expressions to be tackled effectively. Ultimately, understanding these properties enhances your ability to manipulate and solve equations in algebra.
The triangle was not invented. It is the result of observations of physical properties.
The exponents are added.
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..