3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively. This can be obtained by taking the factors of these numbers and wring as the powers as shown below.
<h3>What is index notation?</h3>
It is a method of representing numbers and variables that are multiplied by themselves a number of times.
For example, 7³, a²
<h3>
What are the index notations of the given numbers?</h3>
The given numbers can be represented as the following:
(1) 45 =3×3×5 = 3²×5
(2) 80 =2×2×2×2×5 = 2⁴×5
(3) 420 =2×2×3×5×7 = 2²×3×5×7
(4) 625 =5×5×5×5 = 5⁴
(5) 81 =3×3×3×3 = 3⁴
Hence 3²×5, 2⁴×5, 2²×3×5×7, 5⁴ and 3⁴ are the index notations of the numbers 45, 80, 420, 625 and 81 respectively.
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Answer:
Step-by-step explanation:
<u>We know that:</u>
- Side lengths of rectangular prism: 2 in, 5 in, and 6 in.
- Surface area = Area of all faces
<u>Solution:</u>
- Surface area = 2(6 x 2) + 2(5 x 2) + 2(6 x 5)
- => Surface area = 2(12) + 2(10) + 2(30)
- => Surface area = 24 + 20 + 60
- => Surface area = 104 in.
Hence, the surface area of the rectangular prism is 104 in.
Answer:
64π or 201.0619298297
Step-by-step explanation:
Area of a circle: πr²
To find r, the radius of the circle, take the diameter (16) and halve it to get 8. You can now place 8 into the equation to get π8². Square 8 to get 64. You now now have π64, or 201.0619298297.
Answer:
4.1935483871km
Step-by-step explanation:
Distance to and back = 1.3 miles *2 = 2.6miles
To convert kilometres to miles, multiply by 0.62. Therefore, to convert from miles to kilometres, divide by 0.62.
2.6/0.62=4.1935483871km
Step-by-step explanation:
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