menu

arrow_back Evaluate \(1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}\)

by Platinum
(119,140 points)
in Mathematics
reopened by
88 views
Evaluate \(1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}\)

1 Answer

Best answer
1 like 0 dislike
 
Best answer
Step 1: Carry out the multiplication
For multiplication and division the exponents do not need to be the same. For multiplication we add the exponents and multiply the \(N\) terms:
\[
1,6 \times 10^{-19} \times 3,2 \times 10^{-19}=(1,6 \times 3,2) \times 10^{-19+(-19)}=5,12 \times 10^{-38}
\]
Step 2: Carry out the division
For division we subtract the exponents and divide the \(N\) terms. Using our result from the previous step we get:
\[
5,12 \times 10^{-38} \div 5 \times 10^{-21}=(5,12 \div 5) \times 10^{-38-(-21)}=1,024 \times 10^{-17}
\]
Step 3: Write the final answer
The answer is: \(1,024 \times 10^{-17}\)
by Platinum
(119,140 points)
selected by

Related questions


Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Multiplication and division with scientific notation - $1,6 \times 10^{-19} \times 3,2 \times 10^{-19} \div 5 \times 10^{-21}$
1 answer 182 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is \(1 \div 2 \times 1 ?\)
0 answers 104 views
What is \(1 \div 2 \times 1 ?\)What is \(1 \div 2 \times 1 ?\) ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Mar 8
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Compute $\frac{1 \times 2 \times 3 \times \ldots \times 21}{1 \times 2 \times 3 \times \ldots \times 19}$
1 answer 165 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Evaluate \(1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}\)
1 answer 62 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{19}(3 k+2) \]
1 answer 105 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{19}(3 k+2) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=7}^{19}(3 k+2) \ (a) What is the starting value of \(\mathrm{k}\ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
The value (in scientific notation) of $5.2 \times 10^{-5} \times 3 \times 10^3$ is:
1 answer 183 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Add and subtract with scientific notation $1,99 \times 10^{-26}+1,67 \times 10^{-27}-2,79 \times 10^{-25}=?$
1 answer 150 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Rewrite \(821,45 \times 10^{5}\) in decimal notation.
0 answers 65 views
Rewrite \(821,45 \times 10^{5}\) in decimal notation.Rewrite \(821,45 \times 10^{5}\) in decimal notation. ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Feb 5
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Sipho's family has inherited \(5,24 \times 10^{\circ}\) rand from a wealthy uncle. How much money is this in normal notation?
0 answers 96 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{17}(-2 k+14) \]
1 answer 189 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=7}^{17}(-2 k+14) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=7}^{17}(-2 k+14) \ (a) What is the starting value of \(\mathrm{k ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Consider the following sigma notation and answer the following questions. \[ \sum_{k=4}^{12}(k+15) \]
1 answer 129 views
Consider the following sigma notation and answer the following questions. \[ \sum_{k=4}^{12}(k+15) \]Consider the following sigma notation and answer the following questions. \ \sum_{k=4}^{12}(k+15) \ (a) What is the starting value of \(\mathrm{k}\) ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Aug 31, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is factorial notation?
1 answer 112 views
What is factorial notation?What is factorial notation? ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Sep 5, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
What is function notation?
1 answer 101 views
What is function notation?What is function notation? ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Sep 5, 2021
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Write each of the following numbers in scientific notation: 1. 10.0000707 2. 1.575
1 answer 709 views
close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993
Given the function $$f(x)=\left\{\begin{array}{l}7 x+3 \text { if } x<0 \\ 7 x+6 \text { if } x \geq 0\end{array}\right.$$ evaluate: 1. $f(-1)$ 2. $f(0)$ 3. $f(2)$

Q&A | Subjects | Request Private Tutor | eBook


Join the MathsGee Support Club where you get study and financial support for success from our community. LEARN - CONNECT - EARN


On the MathsGee Support Club, you can:


1. Ask questions


2. Answer questions


3. Vote on Questions and Answers


4. Tip your favourite community member(s)


5. Create Live Video Tutorials (Paid/Free)


6. Join Live Video Tutorials (Paid/Free)


7. Earn points for participating



Posting on the MathsGee Support Club


1. Remember the human


2. Behave like you would in real life


3. Look for the original source of content


4. Search for duplicates before posting


5. Read the community's rules




Q&A RULES


1. Answers to questions will be posted immediately after moderation


2. Questions will be queued for posting immediately after moderation


3. Depending on how many posts we receive, you could be waiting up to 24 hours for your post to appear. But, please be patient as posts will appear after they pass our moderation.


Q&A | Subjects | Request Private Tutor | eBook


MathsGee Tools

Math Worksheet Generator

Math Algebra Solver

Trigonometry Simulations

Vectors Simulations

Matrix Arithmetic Simulations

Matrix Transformations Simulations

Quadratic Equations Simulations

Probability & Statistics Simulations

PHET Simulations

Visual Statistics

Q&A | Subjects |Request Private Tutor | eBook