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:

Solve the equation (x+7)^(3)+8=16

Solve the equation (x+7)3+8=16 (x+7)^{3}+8=16

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. Solve the equation (x+7)3+8=16 (x+7)^{3}+8=16
  1. Subtract 88: Subtract 88 from both sides of the equation to isolate the cubic term.\newline(x+7)3+8−8=16−8(x+7)^3 + 8 - 8 = 16 - 8\newlineSimplify the equation.\newline(x+7)3=8(x+7)^3 = 8
  2. Simplify equation: Take the cube root of both sides of the equation to solve for (x+7)(x+7).(x+7)33=83\sqrt[3]{(x+7)^3} = \sqrt[3]{8}Simplify the cube root.x+7=2x+7 = 2
  3. Take cube root: Subtract 77 from both sides of the equation to solve for xx.\newlinex+7−7=2−7x + 7 - 7 = 2 - 7\newlineSimplify the equation.\newlinex=−5x = -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 1 year ago

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

Posted 1 year ago

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

Posted 1 year ago

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

Posted 1 year 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 1 year ago

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

Posted 1 year ago

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

Posted 1 year 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 1 year 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 1 year 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 1 year ago

View all (42)

Related topics

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