### Rules of Exponents

Rules of Exponents Zero-Exponent Rule:   $displaystyle {{a}^{0}}=1$  this means that each number raised to the zero power is 1. Worked example 1:  50 = 1 (-3)0 = 1 $displaystyle {{(5{{x}^{6}}{{y}^{2}})}^{0}}=1$ $displaystyle {{left( frac{2}{x} right)}^{0}}=1$ Power of a Power: $displaystyle {{left( {{a}^{m}} right)}^{n}}={{a}^{mn}}$ So, when you raise a power to a power you have to multiply the exponents. Worked example 2: […]
Powers and Roots An expression that represents repeated multiplication of the same factor is called a power. So, when we want to multiply a number by itself repeatedly we use powers. $displaystyle {{a}^{n}}$ tells  you  to multiply  a  by itself, exactly n-times. The exponent corresponds to the number of times the base is used as […]