Numerical Bases and Exponents of Zero
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.