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vodka [1.7K]
3 years ago
12

Please solve these questions on the topic of exponents

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer/Step-by-step explanation:

Recall: x^{-a} = \frac{1}{x^a}

a. 4^{-3} = \frac{1}{4^3} = \frac{1}{64}

b. 13^{-2} = \frac{1}{13^2} = \frac{1}{169}

c. (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9}

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I need help with number 33!!!
sveta [45]

Area of Big Rectangle                                     Area of Small Rectangle

A = L x w                                                           A = L x w

 = (25 + 2w)(10 + 2w)                                           = 25 x 10

 =   250 + 50w + 20w + 4w²                               = 250

       Big - Small  

74 = 250 + 70w + 4w² - 250

74 = 4w² + 70w

0 = 4w² + 70w - 74

   = 2(2w² + 35w - 37)

  = 2[2w² -2w  |  +37w - 37]

  = 2[2w(w - 1) |  +1(w - 1)]

  = 2(2w + 1)(w - 1)

0 = 2                                   0 = 2w + 1                                     0 = w - 1

FALSE so disregard          w = -1/2                                         w = 1

                                         NEGATIVE so disregard

Answer: 1 meter

5 0
3 years ago
What is the surface area of each triangular prism?
SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0
3 years ago
1
Reptile [31]

Answer:

It's the third option: (x^2 - 5)(x - 7).

Step-by-step explanation:

x^3 – 7x^2 – 5x + 35

= x^2(x - 7) - 5(x - 7)        The (x - 7) is common so we have:

(x^2 - 5)(x - 7).

6 0
3 years ago
How do I solve both questions?
diamong [38]
1. divide 8.75 by 3.5 and divide 9.75 by 3.75
2. do 2.5 ×2 plus 1.25
5 0
3 years ago
What is the relationship between fluid oneces and capacity
Semenov [28]
"Fluid ounce" is one of many units used to describe capacity.
Some others are the liter, the gallon, the cubic meter, and the pint.

"Fluid ounce" is related to capacity in the same way that
"inch" is related to length or distance. 
7 0
3 years ago
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