State the degree: -4a^3b^2c^5
1 answer:
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Answer:
Step-by-step explanation:
These exponential forms can be written into radicals very easily as long as you remember the rule: The denominator of the rational exponent serves as the index of the radical and the numerator serves as the exponent on the radicand. Let's look at a rational exponent. 3/4 4 would be the index on the radical (the number that sits in the little dip of the radical sign) and 3 is the power on the base. So
can be written in radical form as
Let's do 3^3/2 in your problem. 2 is the index (which is a "normal" square root and you don't need to write a 2 there cuz it's understood that it's a 2 if nothing is there), and 3 is the power on the base, which in our case is a 3. Bases can be numbers OR letters.
That does in fact have an actual number answer, but I don't think you are simplifying them yet, only learning to write them from one form to another, so there you go!