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Rational Exponents

"Any radical can also be expressed as a rational exponent. For example, a cube root is equivalent to an exponent of 1/3; a fourth root is an exponent of 1/4. When using this method to simplify roots, ...

Rate Word Problems

"To solve rate word problems, knowledge of solving systems of equations is necessary. Rate word problems include problems dealing with rates, distances, time and wind or water current. Other types of ...

Defining Variables

"Variables are used throughout math after Algebra, and are important to understand. A defining variable is a symbol, such as x, used to describe any number. When a variable is used in an equation or a ...

Quotient Rule of Logarithms

"When evaluating logarithms the logarithmic rules, such as the quotient rule of logarithms, can be useful for rewriting logarithmic terms. The quotient rule of logarithms allows us to separate parts o ...

Cube Roots

"A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is po ...

Proportions

"We can find unknown quantities when we know similar ratios for comparison, using proportions. We find proportions often in word problems, for example those involving baking ingredients, and in compar ...

Properties of Real Numbers

"When analyzing data or solving problems with real numbers, it can be helpful to understand the properties of real numbers. These properties of real numbers, including the Associative, Commutative, Mu ...

Probability of Multiple Events

"Slightly more complicated than calculating the probability of an event is calculating the probability of multiple events. The probability of multiple events has different calculations depending on wh ...

Probability of Independent Events

"When calculating the probability of multiple events, we must determine whether the events are dependent or independent. The probability of independent events is slightly less complicated than calcula ...

Probability of Dependent Events

"When calculating the probability of multiple events, we must determine if the events are dependent or independent of one another. When calculating the probability of dependent events we must take int ...

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