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:

Which is equal to 3−23^{-2}?\newlineChoices:\newline(A) −(−3)2-(-3)^2\newline(B) 132\frac{1}{3^2}\newline(C) 13−2\frac{1}{3^{-2}}\newline(D) 323^2

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Understanding negative exponentsright chevron icon

Full solution

Q. Which is equal to 3−23^{-2}?\newlineChoices:\newline(A) −(−3)2-(-3)^2\newline(B) 132\frac{1}{3^2}\newline(C) 13−2\frac{1}{3^{-2}}\newline(D) 323^2
  1. Understand expression: Understand the expression 3−23^{-2}. 3−23^{-2} means 11 divided by 33 squared (323^2).
  2. Calculate 323^2: Calculate 323^2.\newline32=3×3=93^2 = 3 \times 3 = 9.
  3. Calculate 3−23^{-2}: Now calculate 3−23^{-2}. \newline3−2=1/32=1/93^{-2} = 1 / 3^2 = 1 / 9.
  4. Match with choices: Match the result with the given choices.\newline(A) −(−3)2=−9-(-3)^2 = -9 (incorrect)\newline(B) 132=19\frac{1}{3^2} = \frac{1}{9} (correct)\newline(C) 13−2=9\frac{1}{3^{-2}} = 9 (incorrect)\newline(D) 32=93^2 = 9 (incorrect)

More problems from Understanding negative exponents

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

Posted 2 months ago

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

Posted 2 months ago

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

Posted 1 month ago

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

Posted 3 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 3 months ago

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

Posted 3 months ago

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

Posted 3 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 4 days 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 month 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 month ago

View all (50)