How to Simplify 0.027⁻¹/³ Step by Step | Easy Math Explanation

🧮 Simplify 0.027⁻¹/³ Easily | Step-by-Step Cube Root & Exponent Guide

Question: Simplify 0.027⁻¹/³

Let’s break it down step-by-step with a simple explanation. This concept often appears in algebra and exponent exercises.

🔹 Step 1: Understand the Negative Exponent

A negative exponent means take the reciprocal of the base raised to the positive power.

0.027⁻¹/³ = 1 / 0.027¹/³

🔹 Step 2: Find the Cube Root

We can rewrite 0.027 as a fraction:

0.027 = 27 / 1000

Now, take the cube root of both numerator and denominator:

(27/1000)¹/³ = 3/10 = 0.3

🔹 Step 3: Apply the Reciprocal

Since we had a negative exponent, we now take the reciprocal of 0.3:

1 / 0.3 = 10 / 3

Step-by-step solution of 0.027 to the power minus one by three explained with negative exponent, cube root, and reciprocal rules for easy math learning.

Step-by-step breakdown of 0.027⁻¹/³ simplification showing reciprocal and cube root method.

✅ Final Answer:

0.027⁻¹/³ = 10/3 or 3.333…

📘 Quick Recap of Concepts

a⁻ⁿ = 1 / aⁿ
a¹/³ means the cube root of a.
Find the cube root first, then take the reciprocal for negative powers.

💡 Concept Insight

Expressions like 0.027⁻¹/³ test your understanding of both fractional and negative exponents. Always simplify the root before handling the negative sign.

📊 Real-World Tip

Fractional exponents are commonly used in physics, chemistry, and finance to represent roots and proportional relationships. Learning them early gives you an analytical edge.

🖋️ Written by Just Solving Questions | Simplifying concepts, one step at a time.

#MathSimplification #Exponents #CubeRoots #AlgebraBasics #StudySmart

Comments

किन्हीं दो विषयों पर टिप्पणी लिखिए:- १. टिप्पण की विशेषताएं २. प्रतिवेदन का महत्व ३. सामान्य हिंदी और कार्यालयी हिंदी ४. व्यावसायिक पत्र के प्रकार | Kinhi Do Vishayon Par Tippan Likhiye

किन्हीं दो विषयों पर टिप्पणी लिखिए:- १. टिप्पण की विशेषताएं २. प्रतिवेदन का महत्व ३. सामान्य हिंदी और कार्यालयी हिंदी ४. व्यावसायिक पत्र के प्रकार Kinhi Do Vishayon Par Tippan Likhiye | Hindi Bhasha 'Kha' तिप्पणी की विशेषताएँ और सुझाव: एक अच्छी टिप्पणी हमेशा सार्थक और संरचित होती है जो पाठकों को समझने में मदद करती है और सही दिशा में मार्गदर्शन करती है। यदि आप एक टिप्पणी लिख रहे हैं, तो इसे ध्यानपूर्वक सोचें और निम्नलिखित विशेषताओं का ध्यान रखें: सटीकता और संवेदनशीलता: आपकी टिप्पणी सटीक और संवेदनशील होनी चाहिए। जिससे पाठक आपकी बातों को सही से समझ सकें। संक्षेप में स्पष्टता: अधिक शब्दों की जगह, संक्षेप में स्पष्ट भाषा का उपयोग करें। सकारात्मक और सहायक: टिप्पणी सकारात्मक होनी चाहिए और पाठकों को कुछ सीखने के लिए प्रेरित करनी चाहिए। विवेचना करें: आपकी टिप्पणी में यदि विवेचना है, तो इसे और बढ़ावा देने के लिए समर्थन दीजिए। सही त्रुटियों को सुधारें: अगर आपने टिप्पणी में किसी त्रुटि को पहचाना है, तो उसे सही करें ताकि पाठकों को सही जानकारी मिले। इन सुझावों...

A Bug Crawls Towards The Rim With A Constant Speed Vo Along The Spoke Of A Wheel That Is Rotating With Constant Angular Velocity W About A Vertical Axis. Find All Apparent Forces Acting On The Bug. And How Far The Bug Can Crawl Before It Starts To Slip, Given That Coefficient Of Static Friction Between The Bug And The Spoke Is Us.

Q) A Bug Crawls Towards The Rim With A Constant Speed Vo Along The Spoke Of A Wheel That Is Rotating With Constant Angular Velocity W About A Vertical Axis. Find All Apparent Forces Acting On The Bug. And How Far The Bug Can Crawl Before It Starts To Slip, Given That Coefficient Of Static Friction Between The Bug And The Spoke Is Us. Ans) Apparent Forces Acting on the Bug: There are three apparent forces acting on the bug: Centrifugal Force (Fc) : This outward force arises due to the bug's circular motion along the rotating wheel. Magnitude: Fc = mv^2/r, where m is the bug's mass, v is its instantaneous velocity relative to the rim (sum of crawling speed and tangential velocity due to wheel rotation), and r is the distance from the bug to the wheel's axis. Direction: Radially outward, away from the wheel's axis. Normal Force (Fn): This is the force exerted by the spoke on the bug perpendicular to its motion. Magnitude: Fn = N, where N is the reaction force due to t...

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