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Algebra 2: Lesson 048

Advanced Exponent Problems
Numerical Bases and Exponents of Zero

Lesson Description

Students learn to simplify exponential expressions that have numerical bases and exponents of zero. For example, to simplify 3^4 times 3^6, the bases stay the same, and the exponents are added together, to get 3^10. To simplify (5^6)^2, the base stays the same, and the exponents are multiplied together, to get 5^12. To simplify (7^8)/(7^5), the bases stay the same, and the exponents are subtracted, to get 7^3. And any base (except zero) raised to a power of zero is equal to 1. For example, (4x^2)^0 = 1.

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