1) What do you think about ROYAL’s ANSWERs to the questions below??

Choose three laws for exponents. Define each law and provide an example. Explain why we use exponents in scientific notation. Provide an example.

Write two problems containing exponents for your peers to simplify.

ROYAL’S ANSWERS:

What is Exponent?

An exponent, or what we all know as Power, is a number placed on the upper right of a number which we call the base and we multiply the base based on the value of the exponent. For example, 52 multiply the base 5 by itself two times.

Here are my chosen Laws of Exponents to discuss with.

- Product of Powers

When two numbers with the same base, add the exponents and keep the base the same. For example, 22× 23 = 25 Then multiply 2 by itself 5 times to get the answer. 25 = 2 × 2 × 2 × 2 × 2 = 32.

In other cases, if their numbers have different bases, multiply the base and add the exponents. - Quotient of Powers

When two numbers with the same base, subtract the exponents and keep the base the same. But, if two bases have different values, divide the base and subtract the exponents. For example, 76 ÷ 73 = ? Since this has the same base, we keep the base and subtract the exponent then multiply the base itself according to the value of the exponent. 73 = 7 × 7 × 7 = 343.

Another example is 69 ÷ 23 = ? Since this has a different base, we divide the bases and subtract the exponents. 69 ÷ 23 = 36 Then we multiply the base by itself six times. 3 × 3 × 3 × 3 × 3 × 3 = 729. - Power of a Power

A number raised by a power that is inside a parenthesis and is being raised by another power outside the parenthesis. Multiply the exponent from inside the parenthesis to the exponent from outside the parenthesis. For example, (52)3 = 56 then, multiply 5 by itself, six times to get the answer.

Simplify the problems

- 88 ÷ 24 = ?
- (123)6 = ?

2) What do you think about SESSION’s ANSWERs to the questions below??

Choose three laws for exponents. Define each law and provide an example. Explain why we use exponents in scientific notation. Provide an example.

Write two problems containing exponents for your peers to simplify.

SESSION’s ANSWERS:

What is Exponent?

The exponent is just an abbreviation for multiplying the same set of factors. Say we have 52, this is the same as 5 x 5 or (5)(5), two sets of 5. Say we have 5×2, the x should be multiplied by itself two times. Remember, the exponent applies to the value of the number attached to it.

Laws of Exponents

• Multiplying Powers With the Same Base

This is much self-explanatory. If the bases are the same, add the powers or exponents. Say we have 84 x 82 = 84+2 = 86. Then we multiply 8 six times. (8)(8)(8)(8)(8)(8)(8)(8) = 262144

• Multiplying Powers With the Same Exponents

If the two expressions have different bases with the same exponents, multiply the bases and keep the exponent the same. Say we have 62 x x2 = 36×2

• Power With Zero Exponent

If the base is raised by 0, whatever the base is, the answer is always 1. Say we have 50 x 90 = 1.

Let us try to answer 2 equations.

• (x3)(x6)

• 37×0

Sample Solution

he development of a serial killer comes directly from their childhood experiences. Most serial killers display at least one of the “Homicide Triads,” adolescent bed-wetting, arson or sadistic activity. This connection between serial killers as youngsters supports the theory that childhood experiences lead directly to psychopathic behavior of a serial killer (Horse, 2001, 2). Parents and other role models need to look out for these symptoms and get psychiatric help for their children. Crimes as youngsters should not only be punished, but also analyzed by a professional for the deeper reasoning behind their behavior. Too much daydreaming as a child, especially those of sexual or violent nature is used to escape the realities of life. Relatives, teachers, and friends should be more involved in the child’s life so that the child does not have as much time to daydream (Horse, 3). The adults should become more involved in the child’s life so that they could realize that their child has a problem and seek professional help before the problem progresses any further. Child abuse scars a child and causes hate towards others to develop. The pain afflicted upon serial killers as children sexually, emotionally, and physically, causes them to take vengeance out on others for their troubled childhood. If people in he community take action and report child abuse instead of not getting involved, the hatred developed from the abuse might stop, and allow the child a chance at regaining a normal life. For the most part the childhood of serial killers paints a little picture of the causes of serial killers. There are also theories, hypothesis, and approaches to why these serial killers murder people the way they do. Most of these theories have something to do with child abuse, but they are different development and psychological approaches to serial murder. In the following pages, there are different beliefs of why serial killers kill. As we all know science is always experimenting and the following pages should not be taken as fact.>

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