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Properties of Exponents

In this topic, we learn to apply the properties of exponents. We learn to multiply and divide exponents with the same base. We also cover raising power to a power.

Topic: Multiply, Divide, and Raise Power to a Power

  • To multiply powers with the same base, keep the base and add the exponents. For example, 35. 38 = 35 + 8 = 313

  • To divide powers with the same base, keep the base and subtract the exponents. For example, 38/35 = 38 - 5 = 33

  • To raise a power to a power, keep the base and multiply the exponents. For example, (54)2 = 54 . 2 = 58

  • Powers with different bases cannot be combined and expressed as one power. For example, 35. 28; 58/35

Topic: Application Problems

  • To multiply powers with the same base, keep the base and add the exponents. For example, 35. 38 = 35 + 8 = 313

  • To divide powers with the same base, keep the base and subtract the exponents. For example, 38/35 = 38 - 5 = 33
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