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Simplify completely quantity 3 x plus 18 over 18.

User Hazim
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2 Answers

5 votes

Final answer:

The expression (3x + 18) / 18 simplifies to x/6 + 1. The general rule for multiplying exponents with the same base, such as 3².35, is to add the exponents, resulting in 3⁷.

Step-by-step explanation:

The problem quantity 3 x plus 18 over 18 can be simplified in a straightforward manner. We start by observing that the given expression can be written as (3x + 18) / 18. We can simplify this by dividing both the terms in the numerator by the denominator:

(3x / 18) + (18 / 18)

By reducing the fractions, we obtain:

(x / 6) + 1

Thus, the fully simplified form of the given expression is x/6 + 1.

To illustrate this concept further, consider the operation of cubing an exponential term like 3².35. The rule that applies here is x⁶¹³ = x(p+q), meaning that when we multiply two powers with the same base, we add the exponents. So, 3²*³⁵ means multiplying seven 3's together or 3⁷.

User Anthony Chung
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6.6k points
0 votes
remember
(a+b)/c=(a/c)+(b/c)

(3x+18)/18=
(3x/18)+(18/18)=
(x/6)+1

the answer is
(x)/(6)+1 or if yo didn't want 2 seperate fractions

(x+6)/(6)

User DutGRIFF
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5.4k points