Power of Fractions

The power of a fraction is the result of raising a fraction to a certain exponent. An exponent is a whole number that represents the number of times the base (the fraction) is multiplied by itself.

In this article, we will cover some solved examples to understand the concept better.

 Let us look at an example:

This means that (1/2) raised to the 3rd power (1/2^3) is equal to 1/8.

When raising a fraction to a power, both the numerator and denominator of the fraction are raised to that power. For example:

In this example, both the numerator and denominator are raised to the power of 2.

It’s important to note that when an exponent is a negative number, the fraction should be flipped and the exponent should be changed to positive. For example:

And when the exponent is a fraction, the power of a fraction is represented by a root. For example:

In general, when raising a fraction to a power, the numerator and denominator are both raised to that power. It’s also important to be aware of the properties of exponentiation and the rules of operations of the exponents, such as the product of exponents and the quotient of exponents.

More Examples

Explanation: This example shows how to raise a fraction to power. In this case, (1/2) is being raised to the power of 4. To find the result, we multiply the fraction by itself 4 times. So, (1/2) * (1/2) * (1/2) * (1/2) = 1/16.

Power of Fractions FAQS

Grade 6 Science Worksheets

• Inquiry process
• Nature of Science
• Scientific Inquiry
• Inquiry, Analysis and Problem Solving
• Ethical Practices
• Science and Society
• Biotic and Abiotic Factors
• Impact of Organisms
• Adaptation
• Spheres of Earth
• Natural Resources
• Environmental Issues
• Conservation of Earth
• Understanding Technology
• Abilities To Do Technological Design
• Structure of Earth
• Solar System
• Rocks and Fossils
• Earth Systems
• Plate Tectonics
• Evolution
• Magnetic Field of Earth
• Geologic Time
• Materials and Processes That Shape a Planet
• Astronomy
• Ecology
• Energy
• Kinetic and Potential Energy
• Energy Transfer
• Matter and its Structure
• States of Matter
• Physical and Chemical Changes
• Force and Motion
• Electricity and Magnetism
• Wave Interactions
• Sound
• Light
• Introduction to Life Science
• The Origin & History of Life On Earth
• Plant and Animal Cells
• Parts of a Cell
• The Cell Cycle
• How Living Organisms Get Energy
• Classification of Organisms
• How Plants Grow & Reproduce
• The Human Respiratory System
• The Human Cardiovascular System
• The Human Digestive System
• The Human Endocrine Systems
• The Human Nervous System
• The Human Muscular System
• The Human Skeletal System

Grade 6 Math Worksheets

• Probability
• Ratio
• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)