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: Double 5.5 ×10^(4)

Simplify. Your answer should be in proper scientific notation:\newlineDouble 5.5×104 5.5 \times 10^{4}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Powers with decimal and fractional basesright chevron icon

Full solution

Q. Simplify. Your answer should be in proper scientific notation:\newlineDouble 5.5×104 5.5 \times 10^{4}
  1. Understand Operation: Understand the operation to be performed.\newlineWe need to double the value of 5.5×1045.5 \times 10^4, which means multiplying it by 22.
  2. Perform Multiplication: Perform the multiplication.\newlineDouble 5.5×1045.5 \times 10^4 by multiplying 5.55.5 by 22.\newline5.5×2=115.5 \times 2 = 11
  3. Write in Scientific Notation: Write the result in scientific notation.\newlineThe result of doubling 5.55.5 is 1111, so the expression becomes 11×10411 \times 10^4.\newlineSince 1111 is not between 11 and 1010, we need to adjust it to proper scientific notation.\newlineWe can write 1111 as 1.1×1011.1 \times 10^1.
  4. Combine Powers of 1010: Combine the powers of 1010.\newlineNow we have 1.1×101×1041.1 \times 10^1 \times 10^4.\newlineTo combine the powers of 1010, we add the exponents.\newline101×104=101+4=10510^1 \times 10^4 = 10^{1+4} = 10^5
  5. Final Result: Write the final result in proper scientific notation.\newlineThe final result is 1.1×1051.1 \times 10^5.

More problems from Powers with decimal and fractional bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 8 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 7 months ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 6 months ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 7 months ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 8 months ago

View all (42)

Related topics

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