To multiply terms with radicals, multiply the coefficients and radicands separately:

6\( \sqrt{3} \) x 3\( \sqrt{3} \)
(6 x 3)\( \sqrt{3 \times 3} \)
18\( \sqrt{9} \)

Now we need to simplify the radical:

18\( \sqrt{9} \)
18\( \sqrt{3^2} \)
(18)(3)
54

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

To convert a negative exponent to a positive exponent, calculate the positive exponent then take the reciprocal.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [10, 20, 30, 40, 50] making 10 the smallest multiple 2 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 5}{2 x 5} \) - \( \frac{5 x 1}{10 x 1} \)

\( \frac{15}{10} \) - \( \frac{5}{10} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{15 - 5}{10} \) = \( \frac{10}{10} \) = 1