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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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Which is a number that can be written as a fraction in the form /?
mel-nik [20]

Answer:

the third one/second one

Step-by-step explanation:

7 0
2 years ago
A total of 5000 is invested part at 10% and the remainder at 15%. How much is invested at Each rate if the annual interest is $6
vekshin1

Answer:Let the amount invested in each be

A and B

A+B=5000

0.1A+0.15B=630

0.1(5000-B)+0.15B=630

500-0.1B+0.15B=630

0.05B=130

B=2600

A=2400

Step-by-step explanation:

3 0
3 years ago
What is the correct reason for statement 3?
olchik [2.2K]
The answer would be Associative Property.

Hope this helps you =)
4 0
3 years ago
If u see this forget it, I typed it in the wrong spot
Arte-miy333 [17]
Ok then um so ya ok thx for the points though
4 0
2 years ago
A rectangular playground has a perimeter of 180 feet. If the width of the playground is 24 feet less than the length, what is th
Blababa [14]
P = 2(L + W)
P = 180
W = L - 24
now we sub
180 = 2(L + L - 24)
180 = 2(2L - 24)
180 = 4L - 48
180 + 48 = 4L
228 = 4L
228/4 = L
57 = L

W = L - 24
W = 57 - 24
W = 33

so ur length (L) = 57 ft and ur width (W) = 33 ft
3 0
3 years ago
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