Keyword Analysis & Research: rational exponents

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Frequently Asked Questions

What is the difference between rational exponents and radicals?

In a rational exponent, the denominator, or bottom number, is the root. While the numerator, or top number, is the new exponent. In the following examples, the carrot symbol indicates that the right half is the exponent of the left. For example: A radical expression is any expression or equation that contains a square root.

What are the properties of rational exponents?

Rational exponents indicate two properties: the numerator is the base's power and the denominator is the power of the root. When evaluating rational exponents it is often helpful to break apart the exponent into its two parts: the power and the root.

What are laws of exponents on rational numbers?

The exponents can be numbers or constants; they can also be variables. Exponents are generally positive real numbers, but they can also be negative numbers. Laws of exponents: If a and b are any real numbers, and m and n are rational numbers then, a m × a n = a m+n a m a n = a m-n, m > n. (a m) n = a mn (a m × b m) = (a × b) m. a m b m = (a ...

Who discovered rational exponents?

Archimedes discovered and proved the law of exponents, 10a 10b = 10a+b, necessary to manipulate powers of 10.

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