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Blizzard [7]
3 years ago
7

If a= 5^99 x 2^98 and b= 5^72 x 4^38 show ab has 172 digits when written as a ordinary number

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Step-by-step explanation:

ab

= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)

= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²

= 2¹⁷⁴ * 5¹⁷¹

= 2³ * (2¹⁷¹ * 5¹⁷¹).

The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.

And there is a 8 infront as 2³ = 8.

Hence altogether there are 171 + 1 = 172 digits.

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I need help with these questions can someone plz help me
Dmitry [639]

c) Combine 2+3 to get 5. 100-(5x5) equals 100-25. 100-25 is 75. The answer is 75.

d) Combine 2+3 to get 5. Combine 1+4 to get 5, which is 25. The answer is 5.

g) Combine 4+6 to get 10. Combine 70+-6 to get 64. Take the root of 64, leaving you with 10-8. Combine 10 + -8 to get 2. The answer is 2.

h) Combine 5+4 to get 9. Take the root of 36, leaving you with 18 + 6.  Combine 18 + 6 to get 24. The answer is 24.


5. [15 + 22 + 53] divided by [12 + 18] = [90] divided by [30] = 3 ribbons each.

6. (4 x 12) + (6 x 8) = 96 total.

4 0
3 years ago
Nina decided to raise money for a community organization that provides free classes and legal
Over [174]

A percentage is a way to describe a part of a whole. The money that is raised by Nina in the second month is $960.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the money raised by Nina in the first month is $800, while the money raised by Nina in the second month is 20% more.

Therefore, the money raised by Nina in the second month is,

Money raised = $800 + 20% of $800

                       = $800 + 0.20($800)

                       = $800 + $160

                       = $960

Hence, the money that is raised by Nina in the second month is $960.

Learn more about Percentages here:

brainly.com/question/6972121

#SPJ1

8 0
2 years ago
Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink
makvit [3.9K]

Answer:

The dog drank 5/12 of the bowl

Step-by-step explanation:

Common denominator

3/4 = 9/12

1/3 = 4/12

9/12 - 4/12 = 5/12

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to 5-8
MAXImum [283]
It’s equivalent to 10/16 and 40/64
3 0
3 years ago
15% a football originally priced at $18.00​
lesantik [10]

Answer:

2.7

Step-by-step explanation:

15% of 18.00 is 2.7

7 0
3 years ago
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