![]() ![]() \[2^\)) to show that \(b^0\) is equal to one for any number \(b\) (like \(10^0 = 1\)).įollow me on Twitter and check out my personal blog where I share some other insights and helpful resources for programming, statistics, and machine learning. Saturday, FebruStudent Misconceptions Common mistakes that students make. So for our example, the number 3 (the base) is multiplied two times (the exponent). ![]() The right-most number in the exponent is the number of multiplications we do. The left-most number in the exponent is the number we are multiplying over and over again. Using our example from above, we can write out and expand "three to the power of two" as Now that we have some understanding of how to talk about exponents, how do we find what number it equals? Exponents are multiplication for the "lazy" More generally, exponents are written as \(a^b\), where \(a\) and \(b\) can be any pair of numbers. We read this as Three is raised to the power of two. The "3" here is the base, while the "2" is the exponent or power. Exponents are made up of a base and exponent (or power)įirst, let's start with the parts of an exponent.Īt the beginning, we had an exponent \(3^2\). it will show that \(10^0\) equals \(1\) using negative exponentsĪll I'm assuming is that you have an understanding of multiplication and division.So what are they, and how do they work?Įxponents are written like \(3^2\) or \(10^3\).īut what happens when you raise a number to the \(0\) power like this? Exponents are important in the financial world, in scientific notation, and in the fields of epidemiology and public health. Exponent rules, which are also known as the laws of exponents or the properties of exponents make the process of simplifying expressions involving exponents easier.These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents. ![]()
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