To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{2}{6} \) x \( \frac{2}{6} \) = \( \frac{2 x 2}{6 x 6} \) = \( \frac{4}{36} \) = \(\frac{1}{9}\)

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

5b⁵ x 3b⁶
(5 x 3)b^{(5 + 6)}
15b¹¹

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

To subtract these radicals together their radicands must be the same:

2\( \sqrt{32} \) - 9\( \sqrt{2} \)
2\( \sqrt{16 \times 2} \) - 9\( \sqrt{2} \)
2\( \sqrt{4^2 \times 2} \) - 9\( \sqrt{2} \)
(2)(4)\( \sqrt{2} \) - 9\( \sqrt{2} \)
8\( \sqrt{2} \) - 9\( \sqrt{2} \)

Now that the radicands are identical, you can subtract them:

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