Sign In Sign Up Ask an AI advisor

Shaynnn6292

Shaynnn6292

10.07.2021 •

Mathematics

Evaluate ${( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} }$
please explain

Solved

Show answers

Ответ:

montgomerykarloxc24x

09.08.2021

$\frac{-1}{32}$ is a required answer.

Solution given:

${( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} }$

take power common

$(\frac{-7*1}{56})^{\frac{5}{3}}$

Reduce the fraction

$(\frac{-1}{8})^{\frac{5}{3}}$

make the1 and 8 in terms power 3

$(\frac{-1³}{2³})^{\frac{5}{3}}$

take the common power

$(\frac{-1}{2})^{3*\frac{5}{3}}$

Reduce power

$(\frac{-1}{2})^{5}$

now

distribute power

$\frac{-1^{5}}{2^{5}}$

$\frac{-1}{32}$

0,0(0 оценок)

Ответ:

prince96

09.08.2021

$\small \sf \: {( \frac{-1 }{32})}$

Step-by-step explanation:

$\small \sf \: {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} }$

Using laws of exponent ; ( a )ⁿ × ( b )ⁿ = ( ab )ⁿ.

$\small \sf \: {( - 7 \: \times \frac{1}{56} )}^{ \frac{5}{3} }$

$\small \sf \: {( \frac{ \cancel{-7}}{ \cancel{56}} )}^{ \frac{5}{3} }$

Reduce fraction with 7.

$\small \sf \: {( \frac{-1}{8} )}^{ \frac{5}{3} }$

Make -1 and 8 in the term power 3.

$\small \sf \: {( \frac{-1 {}^{3} }{2{}^{3} } )}^{ \frac{5}{3} }$

Using laws of exponent :- ( $\frac{aⁿ}{bⁿ}$ ) = abⁿ.

$\small \sf \: {( \frac{-1 }{2} )} {}^{3 \times { \frac{5}{3} }}$

Reduce the power.

$\small \sf \: {( \frac{-1 }{2})} {}^{5}$

Distribute the power ; 5.

$\small \sf \: {( \frac{-1 }{32})}$

0,0(0 оценок)

Ответ:

paiged2003

25.04.2023

6/12 - 9/18 = 0

Difference usually means subtract.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
H Health and Medicine Kinesiology: What is it and How Does it Work?...
O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
A Art and Culture When Will Eurovision 2011 Take Place?...
S Style and Beauty How to Choose the Perfect Hair Straightener?...
F Family and Home Why Having Pets at Home is Good for Your Health...
H Health and Medicine How to perform artificial respiration?...

Answers on questions: Mathematics

M Mathematics How many terms in (3x^2-4x+2)-(2x^2-4x-5)...
M Mathematics F(n) = 65 - 4n; 29determine which term produces the given number?...
M Mathematics PLSSS HELP ASAP I WILL DO ANYTHING Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)...
M Mathematics Which of the following is the result of expanding the series 3∑ n=0 (nx=2)? 12 22 6x + 8 6x + 12...
M Mathematics Is 88,490,144 divisible by 9?...
M Mathematics Solve 0.48 ÷ 0.04 Help me please...
M Mathematics Which of the following lists of ordered pairs is a function? O A. (2, 4), (0, 2), (2, -4), (5,3) O B. (1,6), (2,7),(4,9), (0,5) O c. (0, 2), (2, 3), (0, -2), (4,1) O D. (1,...
M Mathematics I need asnswer please...
M Mathematics This text is organized into two main parts. The first part describes Naveena Shine s experiment and its results. What does the second part mostly describe? A) the long-term...
M Mathematics Where is the hole for the following function located? X+ 3 f(x)= (x-4)(x+3) O x=-3 O y=-3 O x = 3 O y = 3...

S Sport S Society and Politics G Goods and services C Cities and Countries A Animals and plants L Legal consultation W Work and Career C Construction and repair H Health and Medicine D Dating, Love, Relationships H Horoscopes, Magic, Divination S Style and Beauty L Leisure and Entertainment S Science and Technology P Photography and Videography A Art and Culture O Other P Philosophy F Food and Cooking B Business and Finance T Travel and tourism F Family and Home A Auto and Moto

Show more

Full access

It will provide effective and fast learning by providing unlimited access to the knowledge base and receiving answers from experts and an AI advisor.

Subscribe

Ask an AI advisor a question

I want advice

ABOUT US

About us
Terms of use
Copyright
Privacy Policy
Cookie policy
Cookie preferences

HELP

Sign Up
FAQ
Security Center

App

Spanish Geography Health Engineering Arts Social Studies Advanced Placement (AP) German SAT History Computers and Technology Physics Chemistry Biology Law Mathematics World Languages French Business Medicine