An exponent represents the number of exponents/indiana-common-core-standards?dictionary=times&did=198" onclick="getAsistant(this,event,198,'time');return false;" style="color:#009000;">times a exponents/indiana-common-core-standards?dictionary=base&did=481" onclick="getAsistant(this,event,481,'base');return false;" style="color:#009000;">base number is multiplied by itself. It is denoted by a superscript number placed to the right and slightly above the exponents/indiana-common-core-standards?dictionary=base&did=481" onclick="getAsistant(this,event,481,'base');return false;" style="color:#009000;">base number. For example, in the exponents/indiana-common-core-standards?dictionary=expression&did=552" onclick="getAsistant(this,event,552,'expression');return false;" style="color:#009000;">expression 34, 3 is the exponents/indiana-common-core-standards?dictionary=base&did=481" onclick="getAsistant(this,event,481,'base');return false;" style="color:#009000;">base and 4 is the exponent. This means that 3 is multiplied by itself 4 exponents/indiana-common-core-standards?dictionary=times&did=198" onclick="getAsistant(this,event,198,'time');return false;" style="color:#009000;">times.
When evaluating exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents, there are some basic rules to keep in mind:
Let's go through some examples to demonstrate how to evaluate exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents using the rules mentioned above:
Using the exponents/indiana-common-core-standards?dictionary=product&did=681" onclick="getAsistant(this,event,681,'product');return false;" style="color:#009000;">product of powers rule, we add the exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents: 23 * 25 = 28.
Using the exponents/indiana-common-core-standards?dictionary=quotient&did=306" onclick="getAsistant(this,event,306,'quotient');return false;" style="color:#009000;">quotient of powers rule, we subtract the exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents: 94 / 92 = 92.
Using the power of a exponents/indiana-common-core-standards?dictionary=power+rule&did=565" onclick="getAsistant(this,event,565,'power rule');return false;" style="color:#009000;">power rule, we exponents/indiana-common-core-standards?dictionary=multiply&did=282" onclick="getAsistant(this,event,282,'multiply');return false;" style="color:#009000;">multiply the exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents: (52)3 = 56.
As per the exponents/indiana-common-core-standards?dictionary=zero+exponent&did=566" onclick="getAsistant(this,event,566,'zero exponent');return false;" style="color:#009000;">zero exponent rule, any non-zero number raised to the power of 0 is exponents/indiana-common-core-standards?dictionary=equal+to&did=108" onclick="getAsistant(this,event,108,'equal to');return false;" style="color:#009000;">equal to 1: 70 = 1.
Using the exponents/indiana-common-core-standards?dictionary=negative+exponent&did=567" onclick="getAsistant(this,event,567,'negative exponent');return false;" style="color:#009000;">negative exponent rule, we take the reciprocal of the exponents/indiana-common-core-standards?dictionary=base&did=481" onclick="getAsistant(this,event,481,'base');return false;" style="color:#009000;">base raised to the positive exponent: 8-2 = 1 / 82 = 1 / 64.
Now, let's try some practice problems to reinforce the concepts:
After solving these practice problems, you should have a better understanding of how to evaluate exponents/indiana-common-core-standards?dictionary=exponents&did=434" onclick="getAsistant(this,event,434,'exponents');return false;" style="color:#009000;">exponents using the rules and examples provided above.