How can I use the properties of integer exponents to simplify algebraic abd numeric expressions?

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Unknown19871 Unknown19871

01-09-2017
Mathematics

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How can I use the properties of integer exponents to simplify algebraic abd numeric expressions?

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meerkat18 meerkat18 · Answer 1 · 2017-09-11T19:14:26+02:00

You have to follow the laws of exponents. For exponents as integers, the law that are applicable for simplification are the following:

1. If the two algebraic or numeric terms has the same base, you can add their exponents.

Ex: a² + a³ = a²⁺³ = a⁵ or 6² + 6⁵ = 6⁷

2. When an exponent is outside a base raised to another exponent, simply multiple the exponents:

Ex: (a²)³ = a⁶

3. If you divide two terms with the same bases, just subtract the exponent of the numerator to the denominator.

Ex: a³/a² = a³⁻² = a¹ or a

4. When any base is raised to the power of zero, the answer is 1.

Ex: 100,000⁰ = 1

5. If the integer exponent is negative, take the reciprocal to make the exponent positive.

Ex: a⁻³ = 1/a³