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(13)2(\frac{1}{3})^2 = __\_\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Negative Exponentsright chevron icon

Full solution

Q. Evaluate. Write your answer as a fraction or whole number.\newline(13)2(\frac{1}{3})^2 = __\_\_
  1. Identify base and exponent: Identify the base and the exponent of (13)2(\frac{1}{3})^2.\newlineIn (13)2(\frac{1}{3})^2, 13\frac{1}{3} is the base raised to the exponent 22.\newlineBase: 13\frac{1}{3}\newlineExponent: 22
  2. Choose expanded form: Choose the expanded form of (13)2(\frac{1}{3})^2.(13)2(\frac{1}{3})^2 means 13\frac{1}{3} is multiplied by itself 22 times.\newlineExpanded Form: (13×13)(\frac{1}{3} \times \frac{1}{3})
  3. Write in simplest form: (1/3)2=(1/3×1/3)(1/3)^2 = (1/3 \times 1/3)\newlineMultiply to write in simplest form.\newline(1/3)2(1/3)^2\newline=(1/3×1/3)= (1/3 \times 1/3)\newline=1/9= 1/9\newlineSimplest form: 1/91/9

More problems from Negative Exponents

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 (89)

Related topics

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