Log In

Question about Properties of Exponentiation: Rational Exponents

Mathematics

Originais Teachy

Properties of Exponentiation: Rational Exponents

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

Maria is studying the properties of exponentiation with rational exponents and learned that a root can be represented as a power with a fractional exponent. She now wants to calculate the cube root of 64 and represent it in power form. So, what is the representation of 64 with the corresponding fractional exponent of its cube root?
a.
64^(1/3)
b.
64^(1/2)
c.
64^(2/3)
d.
64^(2)
e.
64^(3/2)

Answer sheet:

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.
Emoji eyes

Answer sheet

You need to be a registered teacher to view the answer sheet

Emoji eyes
Iara Tip

IARA TIP

Are you putting together a test or exercise list?

On Teachy’s platform, you can automatically generate these materials without spending hours searching for questions 😉

Those who viewed this question also liked...
Question icon

Question

Difficulty Medium

Source:

Is external icon

UEMG

Combinatorial Analysis: Simple Permutation

Question icon

Question

Difficulty Medium

Source:

Is external icon

Teachy

In a civil engineering project, an architect needs to divide a rectangular plot of land into two equal parts for the construction of two semi-detached houses. The coordinates of the vertices of the land on the Cartesian plane are A(0, 0), B(30, 0), C(30, 20), and D(0, 20). Using concepts of analytic geometry, determine the coordinates of the point that represents the midpoint of side CD of the land, which will be the dividing point between the two new properties. Then, verify if the obtained midpoint point is indeed on segment CD, ensuring the accuracy of the project. Explain the reasoning used to determine the coordinates and to verify the positioning of the midpoint on the land.

Analytic Geometry: Midpoint

Question icon

Question

Difficulty Medium

Source:

Is external icon

Teachy

Pedro and Ana are tasked with packing sweets into bags for a school party. Pedro has 60 sweets, while Ana has 45 sweets. They want each bag to have the same number of sweets from both Pedro and Ana, with no sweets left over. What is the maximum number of bags they can fill?

GCD Problems

Question icon

Question

Difficulty Easy

Source:

Is external icon

Teachy

Imagine you have 432 candies and want to separate them into containers of 100, 10, and individual units to facilitate counting. How would you make this separation? Explain your answer by showing how the number 432 can be decomposed into powers of 10.

Composition and Decomposition of Natural Numbers into Powers of 10

Community img

Join a community of teachers directly on WhatsApp

Connect with other teachers, receive and share materials, tips, training, and much more!

Teachy logo

We reinvent teachers' lives with artificial intelligence

Instagram LogoLinkedIn LogoTwitter LogoYoutube Logo
BR flagUS flagES flagIN flagID flagPH flagVN flagID flagID flag
FR flagMY flagur flagja flagko flagde flagbn flagID flagID flagID flag

2023 - All rights reserved

Terms of UsePrivacy NoticeCookies Notice