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28.01.2020

PLSS HELP.
Simplify the expression. Write the answer using scientific notation (7x10^5)^2

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09.07.2023, solved by verified expert

Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee

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Step-by-step explanation:

Given expression:

Apply exponent rule :

Apply exponent rule :

Scientific notation:

where and n is an integer

We can write 49 as

Apply exponent rule

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Mathematics

PLSS HELP. Simplify the expression. Write the answer using scientific notation (7x10^5)^2

Step-by-step answer

P Answered by Specialist

$\sf 4.9 \times 10^{11}$

Step-by-step explanation:

Given expression: $\sf (7 \times 10^5)^2$

Apply exponent rule $\sf (ab)^2=a^2 \cdot b^2$ :

$\sf \implies 7^2 \times (10^5)^2$

$\sf \implies 49 \times (10^5)^2$

Apply exponent rule $\sf (a^b)^c=a^{bc}$ :

$\sf \implies 49 \times 10^{5 \cdot 2}$

$\sf \implies 49 \times 10^{10}$

Scientific notation: $\sf a \times 10^n$

where $\sf 1\leq a < 10$ and n is an integer

We can write 49 as $\sf 4.9 \times 10=4.9 \times 10^1$

$\sf \implies 4.9 \times 10^1\times 10^{10}$

Apply exponent rule $\sf a^ba^c=a^{b+c}$

$\sf \implies 4.9 \times 10^{11}$

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

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Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

An online media service offers video and music downloads. Each download of a song costs $1. Each download of a video costs 5 times as much as the song download. You have a credit of $70. How many songs can you purchase after buying 12 videos?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

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Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

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P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

the surface area of a box is 232 square inches. the box is 4 inches wide and 8 inches long. what is the hight?

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P Answered by PhD

The solution is given in the image below

The solution is given in the image below

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