IB Class 10 Mathematics – Group 5, Algebra | 10. Laws of Exponents by Abraham | Learn Smarter
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10. Laws of Exponents

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Sections

  • 1

    Introduction

    Exponents are crucial in algebra for simplifying expressions and understanding exponential growth.

    Learning Practice

  • 2

    What Is An Exponent?

    Exponents represent the number of times a base is multiplied by itself, playing a crucial role in algebra.

    Learning Practice

  • 3

    Laws Of Exponents

    This section covers the laws governing the manipulation of exponents, essential for simplifying expressions and solving equations.

    Learning Practice

  • 3.1

    Product Of Powers Law

    The Product of Powers Law states that when multiplying two powers with the same base, the exponents are added together.

    Learning Practice

  • 3.2

    Quotient Of Powers Law

    The Quotient of Powers Law provides a method to simplify expressions involving division of exponents sharing the same base by subtracting their exponents.

    Learning Practice

  • 3.3

    Power Of A Power Law

    The Power of a Power Law states that when raising a power to another power, the exponents are multiplied.

    Learning Practice

  • 3.4

    Power Of A Product Law

    The Power of a Product Law states that when raising a product to a power, you apply the exponent to each factor, making it essential for simplifying expressions with multiple bases.

    Learning Practice

  • 3.5

    Power Of A Quotient Law

    The Power of a Quotient Law defines how to simplify expressions involving exponents when dividing two powers with the same base.

    Learning Practice

  • 3.6

    Zero Exponent Law

    The Zero Exponent Law states that any non-zero base raised to the power of zero equals one.

    Learning Practice

  • 3.7

    Negative Exponent Law

    The Negative Exponent Law states that a negative exponent indicates the reciprocal of the base raised to the positive exponent.

    Learning Practice

  • 4

    Working With Exponential Expressions

    This section focuses on applying the laws of exponents to simplify algebraic expressions involving exponential terms.

    Learning Practice

  • 5

    Exponents And Scientific Notation

    This section introduces exponents, their laws, and their application in scientific notation.

    Learning Practice

  • 6

    Common Mistakes To Avoid

    This section highlights critical common mistakes in handling exponents that students should avoid for better accuracy in algebra.

    Learning Practice

  • 7

    Chapter Summary

    This section summarizes the laws of exponents, instrumental in simplifying expressions and solving exponential equations in algebra.

    Learning Practice

References

10 IB algebra ch10.pdf

Class Notes

Memorization

Revision Tests