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bogdanovich [222]
3 years ago
10

Find the product. a^3b^2 • 4ab^3

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

4a^4·b^5

Step-by-step explanation:

The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

The commutative and associative properties of multiplication apply, so we can write the expression as ...

  4·(a^3·a)·(b^2·b^3) = 4·a^(3+1)·b^(2+3) = 4·a^4·b^5

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2 years ago
Six distinct integers are picked from the set {1, 2, 3,…, 10}. How many selections are there, in which the second smallest integ
Ksivusya [100]

Answer:

1680 ways

Step-by-step explanation:

Total number of integers = 10

Number of integers to be selected = 6

Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.

<u>2 ways</u>   <u>1 way</u>  <u>       </u>  <u>        </u>  <u>        </u>  <u>        </u>

Each of the line represent the digit in the integer.

After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840

Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways

Therefore, there are 1680 ways to pick six distinct integers.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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