Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The thickness of a strand of cotton is about 9×10−19 \times 10^{-1} millimeters. The thickness of a strand of silk is about 3×10−23 \times 10^{-2} millimeters.\newlineUse these numbers to complete the sentence below. Write your answer in standard form, without using exponents.\newlineA strand of cotton is about ____ times as thick as a strand of silk.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Simplify expressions involving rational exponentsright chevron icon

Full solution

Q. The thickness of a strand of cotton is about 9×10−19 \times 10^{-1} millimeters. The thickness of a strand of silk is about 3×10−23 \times 10^{-2} millimeters.\newlineUse these numbers to complete the sentence below. Write your answer in standard form, without using exponents.\newlineA strand of cotton is about ____ times as thick as a strand of silk.
  1. Divide Thicknesses: To find out how many times thicker the cotton is than the silk, we divide the thickness of the cotton by the thickness of the silk.\newlineSo, we do (9×10−1)/(3×10−2)(9 \times 10^{-1}) / (3 \times 10^{-2}).
  2. Divide Numbers: First, divide the numbers without the exponents: 9/3=39 / 3 = 3.
  3. Subtract Exponents: Now, subtract the exponents: −1−(−2)=−1+2=1-1 - (-2) = -1 + 2 = 1.
  4. Combine Results: Combine the results: 3×1013 \times 10^1.
  5. Final Answer: 10110^1 is just 1010, so the final answer is 3×103 \times 10, which is 3030.

More problems from Simplify expressions involving rational exponents

Question
f(x)=6x+52−14+5x f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}} \newlineWe want to find lim⁡x→−2f(x) \lim _{x \rightarrow-2} f(x) .\newlineWhat happens when we use direct substitution?\newlineChoose 11 answer:\newline(A) The limit exists, and we found it!\newline(B) The limit doesn't exist (probably an asymptote).\newline(C) The result is indeterminate.
Get tutor helpright-arrow

Posted 3 months ago

Question
Let x4+y2=17 x^{4}+y^{2}=17 .\newlineWhat is the value of d2ydx2 \frac{d^{2} y}{d x^{2}} at the point (−2,1) (-2,1) ?\newlineGive an exact number.
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the area of the region bound by the graphs of f(x)=x−2,g(x)=14−x f(x)=\sqrt{x-2}, g(x)=14-x , and x=2 x=2 ?\newlineChoose 11 answer:\newline(A) 196 \frac{19}{6} \newline(B) 992 \frac{99}{2} \newline(C) 1512 \frac{151}{2} \newline(D) 452 \frac{45}{2}
Get tutor helpright-arrow

Posted 1 month ago

Question
Let g(x)=x43 g(x)=x^{\frac{4}{3}} .\newlineg′(27)= g^{\prime}(27)=
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{\sqrt{e}}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify ln⁡(1e) \ln \left(\frac{1}{e}\right) \newlineAnswer:
Get tutor helpright-arrow

Posted 2 months ago

Question
y=(sin⁡−1(5x2))3y=(\sin^{-1}(5x^{2}))^{3}
Get tutor helpright-arrow

Posted 2 months ago

Question
(10x3−5x2−6x)÷(2x2)\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)
Get tutor helpright-arrow

Posted 2 months ago

Question
y=cos⁡4xsin⁡4xy=\cos^{4}x\sin^{4}x
Get tutor helpright-arrow

Posted 2 months ago

Question
35−310\frac{3}{5}-\frac{3}{10}
Get tutor helpright-arrow

Posted 2 months ago

View all (185)