MathsExponent and PowerExponentsExponents 4 – Product Law

Exponents 4 – Product Law

Table of Contents

  • Product Law of Exponents
  • Problems
  • Summary
  • What’s Next?

In the previous segment, we learnt about Negative base exponents. We will now learn about the Laws of exponents. In this segment, we will learn about the Product law of exponents.

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    What is the Product law of exponents?

    The Product law of exponents states that,

    For any non-zero integer a, ?? × ?? = ??+?, where m and n are integers.

    For example,

    22 × 23 = 22+3 = 25

    This law applies to only the multiplication of exponential forms with the same base.

    Problems based on product law

    Q. Express ?? × ??? in exponential form. Solution:

    As the bases are the same, using the product law,

    37 × 314 = 37+14 = 321.

    Q. Express ?? × ?? × ?? in exponential form. Solution:

    As the bases are the same, using the product law,

    43 × 42 × 45 = 43+2+5 = 410

    Summary

    Product Law of Exponents

    For any non-zero integer a, ?? × ?? = ??+?,where m and n are integers.

    What’s next?

    In the next segment of Class 7 Maths, we will learn about the Quotient law of exponents

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