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:

6b² x 5b⁶
(6 x 5)b^{(2 + 6)}
30b⁸

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

By buying two shirts, Monty will save $50 x \( \frac{15}{100} \) = \( \frac{$50 x 15}{100} \) = \( \frac{$750}{100} \) = $7.50 on the second shirt.

So, his total cost will be
$50.00 + ($50.00 - $7.50)
$50.00 + $42.50
$92.50

The factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48] and the factors of 36 are [1, 2, 3, 4, 6, 9, 12, 18, 36]. They share 6 factors [1, 2, 3, 4, 6, 12] making 12 the greatest factor 48 and 36 have in common.

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 5 are [5, 10, 15, 20, 25, 30, 35, 40, 45, 50] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 5 and 9 share.

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

\( \frac{3 x 9}{5 x 9} \) - \( \frac{8 x 5}{9 x 5} \)

\( \frac{27}{45} \) - \( \frac{40}{45} \)

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

\( \frac{27 - 40}{45} \) = \( \frac{-13}{45} \) = -\(\frac{13}{45}\)