
Simplifying hairy expression with fractional exponents
And what's nice about this, this is pretty straightforward to simplify. 12 divided by three is four, and w to the seventh divided by w-squared, well, we could divide both by w-squared or you could …
Evaluating fractional exponents | Algebra (video) | Khan Academy
Fractional powers, also called rational exponents, are a different way of writing roots of numbers, the numerator is the power of the term inside the root and the denominator is the power of the …
Evaluating fractional exponents: fractional base - Khan Academy
When simplifying a radical, the quickest method (besides intuition) is to make a factor tree. A factor tree is something you may have learned about in grade school.
Expressions with exponents | Algebra basics | Math | Khan Academy
Expand your algebra superpowers by introducing exponents! Let's build our toolkit that allows us to manipulate exponents algebraically.
Evaluating fractional exponents: negative unit-fraction
How to evaluate powers that are negative unit fractions, like 9 raised to -½ and 27 raised to -⅓. Created by Sal Khan.
Exponents & radicals | Khan Academy
In this unit, we review exponent rules and learn about higher-order roots like the cube root (or 3rd root). We'll learn how to calculate these roots and simplify algebraic expressions with radicals.
Powers of fractions (video) | Khan Academy
Raising fractions to a power is a fundamental math skill. To do this, simply multiply the numerators and denominators separately. For example, when raising a fraction like 2/3 to the third power, …
Simplifying radical expressions: two variables - Khan Academy
A worked example of simplifying elaborate expressions that contain radicals with two variables. In this example, we simplify √ (60x²y)/√ (48x). Created by Sal Khan and Monterey Institute for …
Exponent properties with quotients (video) | Khan Academy
Learn how to simplify expressions like (5^6)/ (5^2). Also learn how 1/ (a^b) is the same as a^-b. Towards the end of the video, we practice simplifying more complex expressions like (25 * x * …
Simplifying radical expressions (addition) - Khan Academy
A worked example of simplifying an expression that is a sum of several radicals. In this example, we simplify √ (2x²)+4√8+3√ (2x²)+√8. Created by Sal Khan and Monterey Institute for …