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
kondaur [170]
3 years ago
12

Simplify

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}

Step-by-step explanation:

16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}

=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}

You might be interested in
What is the slope of (-13,8) and (3,12)
love history [14]

Answer:

Slope = 1/4

Step-by-step explanation:

Y2 - Y1 / X2 - X1

8 0
3 years ago
The managers of an airline analyzed a random sample of flights and found that 48 out of 50 were on time. The airline has 450 fli
Elena L [17]

Answer:

432 flights are expected to arrive at time.

Step-by-step explanation:

48/50= 0.96

0.96 x 450=  432

8 0
3 years ago
What is the slope on the graph?
Gnoma [55]

Answer:

The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Step-by-step explanation:

HOPES THIS HELPS!!!

6 0
2 years ago
For which inequality is {x | x R, x > 6} the solution set?
CaHeK987 [17]

Answer:

C

Step-by-step explanation:

<em>B: 2X + 12 > 3</em>

2x > -9

x> -9/2

<em>C: 2X - 5 > 7</em>

2x > 12

x > 6

<em>D: 2x - 6 > 24</em>

2x > 30

x > 15

Hope this helps ^-^

6 0
2 years ago
PLZ HELP IN A RUSH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Bumek [7]

Answer:

Her new balance = - 92.34

Step-by-step explanation:

First find out what the check did.

She had $63.44 in her account. Her check caused her to be in the whole

63.44 - 186.56 = -123.12

Now she deposited 1/4 of that amount.

- 123.12 + (1/4)(123.12) = - 123.12 + 30.78

Her new balance = - 92.34

4 0
3 years ago
Other questions:
  • 7x - 3y = 42x - 4y = 1the solution to the system of equations is _____.
    9·1 answer
  • What is the amount of interest I earned on $4000 deposited in a savings account with 4% interest compounded annually after 4 yea
    13·1 answer
  • Which answer shows 2.13786 times 10 Superscript 4 written in standard form? 0.000213786 2,137.86 21,378.6 2,137,860,000
    14·2 answers
  • How do I work this out?
    15·2 answers
  • Swati is substituting t=5 and t=9 to determine if the two expressions are equivalent.
    7·2 answers
  • Round 9254 to the nearest hundred
    10·2 answers
  • Which number is an irrational number
    10·2 answers
  • Please help me i’ll mark brainliest
    14·2 answers
  • In ΔQRS, r = 1.5 inches, ∠S=23° and ∠Q=22°. Find the length of s, to the nearest 10th of an inch.
    6·1 answer
  • Please help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!