1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zepler [3.9K]
3 years ago
14

Write (8a-^3) -2/3 in simplest form

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0

(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

Thus the given expression is simplified

You might be interested in
Shelly got 60 questions correct on her math test.If she got 75% how many questions were on the test?
vekshin1
There were 80 questions on the test.

5 0
2 years ago
Each leg of a 45°-45°-90° triangle measures 14 cm. What is the length of the hypotenuse?
nydimaria [60]

The sides of an isosceles right triangle are in ratio 1 : 1 : \sqrt 2.

Answer: 14√2

3 0
3 years ago
Read 2 more answers
Of the 450 students at Miller Middle School, 38% ride the bus to school. How many students ride the bus to school?
qwelly [4]

Answer:

171

Step-by-step explanation:

multiply 38% by 450

5 0
2 years ago
Check image for question
alexgriva [62]

<u>b</u><u>.</u><u>3</u><u>6</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u>

<u>let</u><u> </u><u>a</u><u>=</u><u>2</u><u> </u><u>,</u><u> </u><u>and</u><u> </u><u>b</u><u> </u><u>=</u><u> </u><u>3</u><u> </u><u>then</u><u> </u><u>2</u><u>×</u><u>3</u><u>^</u><u>2</u><u> </u><u>=</u><u> </u><u>36</u><u> </u>

3 0
2 years ago
Read 2 more answers
Find the measure of one exterior angle In each regular polygon​
AlekseyPX

Answer:

Step-by-step explanation:

The formula for exterior angles of a regular polygon is that they must add up to 360. They are also equal for a regular polygon.

Exterior angle = 360 / number of sides

The first one (a pentagon) has 5 sides

Exterior angle = 360/5

Exterior angle = 360/5 = 72

The second one has 8 sides.

Exterior angle = 360/8

Exterior angle = 360/8 = 45

4 0
3 years ago
Other questions:
  • Two lines, a and b, are represented by the equations given below:
    5·2 answers
  • 36 + m = 54<br> 54 - 36 = m<br> 36 + 54 = m<br> 54 / 36 = m<br> 36 x 54 = m
    8·1 answer
  • What is the value of x in the equation 1/2x-3/4=3/8-5/8x?
    12·2 answers
  • Write an inequality to match the problem.<br> There are at least 28 days in every month.
    12·1 answer
  • In the library at lenape elementary school there are 2/5 as many fiction books as there are nonfiction books. There are 56 books
    15·1 answer
  • 3.9+1.2 whats the answer
    6·2 answers
  • Please help please explain it step by step please
    8·1 answer
  • What is the unknown value representing the unit rate
    11·1 answer
  • Please help!!! What is the equation of the line in slope-intercept form? Write your answer using integers, proper fractions, and
    5·2 answers
  • Statistics urgent<br> Use n=6 and p=0.85 to complete
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!