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Elis [28]
3 years ago
5

Simplify each expression. Use only positive exponents. (Photo)

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

\frac{m^{14}}{t^{10}}

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2. When we multiply terms with the same bases, we add exponents.

3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

(m^7t^{-5})^2 = m^{14}t^{-10} = \frac{m^{14}}{t^{10}}

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padilas [110]
Let's solve your inequality step-by-step.

<span><span><span>10x</span>+18</span><<span>−2

</span></span>Step 1: Subtract 18 from both sides.

<span><span><span><span>10x</span>+18</span>−18</span><<span><span>−2</span>−18

</span></span><span><span>10x</span><<span>−20

</span></span>Step 2: Divide both sides by 10.

<span><span><span>10x/</span>10</span><<span><span>−20/</span>10

</span></span><span>x<<span>−2

</span></span>Answer:

<span>x<<span>−<span>2</span></span></span>
4 0
3 years ago
4 + -5 * -1 + 8=? <br> i need help so yeah
Natasha2012 [34]

Answer:

1

Step-by-step explanation:

4+(-5*-1)-8

4+5-8

9-8

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8 0
3 years ago
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john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for chi
Maksim231197 [3]

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

5 0
3 years ago
The mathematics department of a college has 15 male professors, 9 female professors, 6 male teaching assistants, and 12 female t
Vesnalui [34]

Given:

The number of male professors = 15.

The number of female professors = 9.

The number of male teaching assistants = 6.

The number of female teaching assistants = 12.

A person is selected randomly from the group.

Required:

We need to find the probability that the selected person is a professor or a male.

Explanation:

The total number of people in the group = 15+9+6+12 = 42

n(S) =The total number of people in the group

n(S)=42

Let A be the event that the selected person is a professor or a male.

The number of people who are professors or male = 15+9+6 = 30

n(A)= The number of people who are professors or male.

n(A)=30

Let P(A) be the probability that the selected person is a professor or a male.

P(A)=\frac{n(A)}{n(S)}P(A)=\frac{30}{42}P(A)=\frac{15}{21}=\frac{5}{7}

Final answer:

The probability that the selected person is a professor or a male is 5/7.

7 0
1 year ago
If both the length and width of a rectangle are doubled, how is the area of the rectangle changed?
Law Incorporation [45]

Answer:

B) The area is four times larger

Step-by-step explanation:

A=LW

2*2*A=2L2W

4A=2L2W

Therefore, the area is four times larger

7 0
2 years ago
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