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:

Evaluate. Write your answer as a fraction or whole number.\newline(14)4=(\frac{1}{4})^4 = _____

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 6right chevron icon
Powers with decimal basesright chevron icon

Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(14)4=(\frac{1}{4})^4 = _____
  1. Given Expression: We are given the expression (14)4(\frac{1}{4})^4. This means we need to multiply 14\frac{1}{4} by itself four times.
  2. Calculate (14)4(\frac{1}{4})^4: To calculate (14)4(\frac{1}{4})^4, we multiply the numerator by itself four times and the denominator by itself four times.(14)4=(1×1×1×14×4×4×4)(\frac{1}{4})^4 = (\frac{1\times1\times1\times1}{4\times4\times4\times4})
  3. Perform Multiplication: Perform the multiplication for both the numerator and the denominator.\newline(1×1×1×1)/(4×4×4×4)=1/256(1\times1\times1\times1)/(4\times4\times4\times4) = 1/256
  4. Check Correctness: Check to ensure that the multiplication was done correctly. The numerator 11 multiplied by itself any number of times will always be 11. The denominator 44 multiplied by itself four times is 4×4×4×44\times4\times4\times4 which is 16×1616\times16, and that equals 256256.

More problems from Powers with decimal bases

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

Posted 9 months ago

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

Posted 9 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 10 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 10 months ago

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

Posted 10 months ago

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

Posted 10 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 8 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 (39)

Related topics

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