Well, they are the same thing. Okay, so looking back at our problem we can see that our bases are the same, and our exponents are the same. This means we have two like terms that can be combined together. So, to actually combine them here is what you do:.
In this problem our coefficients are 5 and 9. Remember, to add or subtract numbers that have exponents you must first make sure that the base and exponent of the two terms you are trying to add or subtract are the same. If they are the same, then all you have to do is add together their coefficients and keep the base and exponent the same.
Alright, so in this example, some of the terms have different exponents. So, we need to identify all of our terms that can be combined together in order to simplify this expression. We know that to combine our like terms together, all we need to do is add together the coefficients of the corresponding like terms. Now, the reason I brought my term with a 3 in the exponent to the front is because in the standard form of a polynomial equation, you always bring your term with the highest number in the exponent to the front or to the left.
When subtracted, the result is. Thus, the correct answer is. A is not equivalent because exponents in denominators mean subtraction of exponents and not division of them. Furthermore, A, when computed, comes out to instead of. B is equivalent by the aforementioned exponential property, while C is simply computing the expression. When two exponents with the same base are being divided, subtract the exponent of the denominator from the exponent of the numerator to yield a new exponent.
Attach that exponent to the base, and that is your answer. In this case, subtract from. That yields as the new exponent and as the answer. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.
Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney. Hanley Rd, Suite St. Louis, MO Subject optional. Email address: Your name:. Possible Answers:. Correct answer:. Explanation : When dividing terms with the same bases but different exponents, you will need to subtract all the pertinent exponents.
Thus resulting in:. Report an Error. Explanation : Begin by noting that the group 4 23 - 4 21 has a common factor, namely 4 He was also a science blogger for Elements Behavioral Health's blog network for five years.
He studied physics at the Open University and graduated in Finally, any exponent raised to the power of 0 has a result of 1. And now the rule for dividing exponents can be used to solve the rest:. How to Divide Using Logarithms. How to Divide Rational Numbers. How to Factor Monomials. How to Do Exponents Outside of the Parenthesis. Definition of Successor and Predecessor in Math. How to Write in Exponential Form. How to Solve Inequalities With Fractions.
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