Home
Grade 1Grade 2Grade 3Grade 4Grade 5Grade 6Grade 7Grade 8Grade 9Grade 10Math Themes
Explorers (Grades 1-3)Explorers Elite (1-3)Navigators (Grades 4-6)Navigators Elite (4-6)Challengers (Grades 7-9)Challengers Elite (7-9)Schedule an Evaluation
Mobius MethodFlexible ClassesCompanySupport
Pricing
Ctrl+k
Sign InJoin

Negative fractional exponent simplification

Teaching Transcript

🎙️

Let's simplify this negative fractional exponent, 200 to the power of negative one half

A negative exponent means 1 over the positive of that exponent, so we can rewrite this as 1 over 200 to the power of one half

A fractional exponent is the same as a root of the same order as the denominator, so we can rewrite as 1 over the square root of 200

Now let's factor the radical. 200 is 2 times 2 times 2 times 5 times 5

We have a squared 2 and a squared 5 that we can remove, so our final answer becomes 1 over 10 root 2

This math skill involves simplifying expressions with negative fractional exponents. First, a negative exponent is expressed as the reciprocal of the base raised to the positive of that exponent. Then, the fractional exponent is converted to a root, and any radicals are simplified if possible.

Skill Practice

Negative fractional exponent simplification

Test your understanding of negative fractional exponent simplification by practicing it! Work through the below exercises to use it in practice.