(628)-272-0788 info@etutorworld.com

Power of Fractions

Grade 6 Math Worksheets

All of these are used in our day-to-day life. We use these problems to calculate certain things, like the distance of Mars from the planet Earth, calculated in light-years.

An exponent is a number that is raised to a base. But what do we mean by an Exponent?

Learn Math concepts from our 6th grade math tutors or practice now 6th grade math worksheets.

powers of fractions

Personalized Online Tutoring

Power of Fractions - Grade 6 Math Worksheet PDF

This is a free printable / downloadable PDF worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

"We really love eTutorWorld!"

"We really love etutorworld!. Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)

"My daughter gets distracted easily"

"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.

With the help of Etutorworld, my daughter has been now selected in the Gifted and Talented Program   for the school district"

- Nivea Sharma (via TrustSpot.io)

Let us just refresh our memory on the rules of exponents and importantly focus on the ‘Fraction rule’ before we go further.

What are the Rules for Exponents?

rules of exponents

An Exponent is a short version of expressing how many times a number is supposed to be multiplied by itself.

There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt.

Our kid is doing much better with a higher score.

- Meg, Parent (via TrustSpot.io)

6th Grade Tutoring

eTutorWorld offers Personalized Online Tutoring for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under $21 per hour, and come with a moneyback guarantee.

Schedule a FREE Trial Session, and experience quality tutoring for yourself. (No credit card required.)

Solving Fractions with Exponents

Just like integers with exponent powers, we solve fractions with exponent powers.

Now, Let’s take a look at this example:

\left ( \frac{2}{{3}} \right )^3 = \frac{2}{3} x \frac{2}{3} x \frac{2}{3} = \frac{8}{27}

How to solve this one?

The numerators get multiplied by itself and the denominators get multiplied by itself.

\left ( \frac{4}{{7}} \right )^2 = \frac{4\ast4}{7\ast7} = \frac{16}{49}

 Examples

  • \left ( \frac{1}{{3}} \right )^3 = \frac{1}{3} x \frac{1}{3} x \frac{1}{3}
  • \left ( \frac{2}{{5}} \right )^4 = \frac{2}{5} x \frac{2}{5} x \frac{2}{5} x \frac{2}{5} = \frac{16}{625}

Solving Fraction Exponents

\frac{1}{2}  as an exponent means square root.

\frac{1}{3} as an exponent means cube root.

\frac{1}{4} as an exponent means fourth root and so on.

Example

(9)^{\frac{1}{2}}  =  \sqr{9}  = 3

(343)^{\frac{1}{3}}  =  \sqrt[3]{343}  = 7

(16)^{\frac{1}{4}}  =  \sqrt[4]{16}  = 2

(8)^{\frac{4}{3}} \left ( 2 ^{3} \right )^{\frac{4}{3}} = 2^4 = 16

Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

Check Point

Solve the following:

1. \left ( \frac{5}{9} \right )^2

2. \left ( \frac{3}{5} \right )^3

3. (81)^{\frac{1}{4}}

4. (256)^{\frac{5}{8}}

5. \left ( \frac{243}{32} \right )^{\frac{2}{5}}

Answer key

1. \frac{25}{81}

2. \frac{27}{125}

3. 3

4. 32

5. \frac{9}{4}

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

Affordable Tutoring Now Starts at Just $21

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

K12 Online Tutoring Free Trial - Step 1K12 Online Tutoring Free Trial - Step 2K12 Online Tutoring Free Trial - Step 3

 

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a FREE TRIAL Session with us today.

*There is no purchase obligation or credit card requirement

Save 10% on ALL Tutoring Packs with Code BEAST10
0
Days
0
Hours
0
Minutes
0
Seconds
Save 10% with Code BEAST10
0
Days
0
Hours
0
Minutes
0
Seconds