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3 years ago

(a^4(3a^2b)^3)/((3ab^2)^-1) exponent has to be postive and has to be simplified

Mathematics

1 answer:

Levart [38]3 years ago

5 0

Answer: 81a^8b^12

Step-by-step explanation:

When you have an exponent to an exponent multiply the exponents.

(3a^2b^3)^4

=81a^8b^12

To do this problem, you need to raise each of the individual terms inside the parentheses

to the 4th power.

In other words:

Now you can recognize that 3%5E4 is 3*3*3*3 and this product is 81. So you can substitute

81 in place of 3%5E4 and the problem is reduced to:

81%2A%28a%5E2%29%5E4%2A+%28b%5E3%29%5E4

Next look at %28a%5E2%29%5E4. You can get an equivalent form of this by multiplying the exponent

4 by the exponent 2 to get a%5E8. You can also think of %28a%5E2%29%5E4 as being a%5E2

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If there was 180 keys and he sent some and now he got 107 keys how many did he spend

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Step-by-step explanation:

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Marina86 [1]

Answer:

Probability that their hair was done by Amy is 0.475.

Step-by-step explanation:

We are given that Sally's Hair Salon there are three hair stylists. 36% of the hair cuts are done by Chris, 26% are done by Karine, and the rest are done by Amy.

Let the Probability of hair cutting done by Chris = P(C) = 0.36

Probability of hair cutting done by Karine = P(K) = 0.26

Probability of hair cutting done by Amy = P(A) = 0.368

Also, let NS = event that customer is not satisfied with his cutting

So, Probability that customers are not satisfied given that their hair cutting is done by Chris = P(NS/C) = 0.05

Probability that customers are not satisfied given that their hair cutting is done by Karine = P(NS/K) = 0.06

Probability that customers are not satisfied given that their hair cutting is done by Amy = P(NS/A) = 0.08

Now, a customer leaving the salon is selected at random. If the customer is not satisfied, the probability that their hair was done by Amy is given by = P(A/NS)

For finding the above probability we will use the concept of Bayes' Theorem;

SO, P(A/NS) = $\frac{\text{P(A) \times P(NS/A)}}{\text{P(C) \times P(NS/C) + P(K) \times P(NS/K) +P(A) \times P(NS/A) }}$ $\frac{P(A) \times P(NS/A) }{P(C) \times P(NS/C) +P(K) \times P(NS/K) +P(A) \times P(NS/A) }$

= $\frac{0.38 \times 0.08}{0.36 \times 0.05+0.26 \times 0.06+0.38 \times 0.08}$

= $\frac{0.0304}{0.064}$

= <u>0.475</u>

<em>Hence, the probability that their hair was done by Amy is 0.475.</em>

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13/107 can't be simplified but in decimal form it would be 0.121495327103.

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Answer:

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