Negative Rational Exponents Negative rational exponents have a meaning similar to that of negative integer exponents. a-m/n For any rational number m/n and any positive real number a, a-m/n…
Month: May 2014
Rational Exponents
Rational Exponents Expressions like a1/2 , 5-1/4 ,and (2y)4/5 have not yet been defined. We will define such expressions so that the general properties of exponents hold. Consider a1/2.a1/2. If…
Simplifying
SIMPLIFYING For any real number a: a) = when k is an even natural number. We use absolute value when k is even unless a is nonnegative. b) =…
Odd and Even kth Roots
Odd and Even kth Roots In the expression , we call k the index and assume k ≥2. ODD ROOTS The 5th root of a number a is the number…
Cube Roots
Cube Roots The number c is the cube root of a, written if the third power of c is a – that is , if c3 = a, then =…
Finding root a^2
Finding In the expression , the radicand is a perfect square. It is tempting to think that = a, but we see below that this is not the case. Suppose…
RADICAL EXPRESSION
RADICAL; RADICAL EXPRESSION; RADICAND The symbol √ is called a radical. An expression written with a radical is called a radical expression. The expression written under the radical is called…
Square Roots and Square-Root Functions
Square Roots and Square-Root Functions When we raise a number to the second power, we say that we have squared the number. Sometimes we may need to find the number…
The Principle of Zero Products
The Principle of Zero Products The product of two numbers is 0 is one or both of the numbers is 0. Further-more, if any product is 0, then a…
Solving Quadratic Equations by Factoring
Solving Quadratic Equations by Factoring Second-degree equation like x2 + x – 156 = 0 and 9 – x2 = 0 are examples of quadratic equations. QUADEATIC EQUATION…
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