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:

Simplify. Your answer should be in proper scientific notation: (2×10^(3))(4×10^(5))(8×10^(3))

Simplify. Your answer should be in proper scientific notation:\newline(2×103)(4×105)(8×103) \left(2 \times 10^{3}\right)\left(4 \times 10^{5}\right)\left(8 \times 10^{3}\right)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Calculusright chevron icon
Find derivatives of using multiple formulaeright chevron icon

Full solution

Q. Simplify. Your answer should be in proper scientific notation:\newline(2×103)(4×105)(8×103) \left(2 \times 10^{3}\right)\left(4 \times 10^{5}\right)\left(8 \times 10^{3}\right)
  1. Multiply Coefficients: Multiply the coefficients (22, 44, and 88) together.\newlineCalculation: 2×4×8=642 \times 4 \times 8 = 64\newlineMath error check:
  2. Add Exponents: Add the exponents of 1010 (33, 55, and 33) together since we are multiplying powers of the same base.\newlineCalculation: 3+5+3=113 + 5 + 3 = 11\newlineMath error check:
  3. Combine Results: Combine the results from Step 11 and Step 22 to form a single expression in scientific notation.\newlineCalculation: 64×101164 \times 10^{11}\newlineMath error check:
  4. Adjust Coefficient: Adjust the coefficient to be between 11 and 1010 for proper scientific notation. Since 6464 is not between 11 and 1010, we need to express it as 6.4×1016.4 \times 10^{1}.\newlineCalculation: 64=6.4×10164 = 6.4 \times 10^{1}\newlineMath error check:
  5. Final Answer: Combine the result from Step 44 with the exponent from Step 33 to get the final answer in proper scientific notation.\newlineCalculation: 6.4×101×1011=6.4×101+11=6.4×10126.4 \times 10^{1} \times 10^{11} = 6.4 \times 10^{1+11} = 6.4 \times 10^{12}\newlineMath error check:

More problems from Find derivatives of using multiple formulae

Question
Find the derivative of f(x) f(x) .\newlinef(x)=cos⁡(x) f(x) = \cos(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡(x) f(x) = \tan(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ex f(x) = e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=ln⁡(x) f(x) = \ln(x) \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=tan⁡−1x f(x) = \tan^{-1}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) .\newlinef(x)=xex f(x) = x e^x \newlinef′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=exx f(x) = \frac{e^x}{x} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of f(x) f(x) . \newline f(x)=e(x+1) f(x) = e^{(x + 1)} \newline f′(x)= f'\left(x\right) = ______
Get tutor helpright-arrow

Posted 7 months ago

Question
Find the derivative of f(x) f(x) . \newlinef(x)=x+3 f(x) = \sqrt{x+3} \newlinef′(x)= f'(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find the derivative of g(x) g(x). \newline g(x)=ln⁡(2x) g(x) = \ln(2x) \newline g′(x)= g^{\prime}(x) = ______
Get tutor helpright-arrow

Posted 9 months ago

View all (358)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant