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
vlada-n [284]
1 year ago
8

P³ = 1/8 please help me if anybody can .

Mathematics
2 answers:
Leya [2.2K]1 year ago
6 0
P would be equal to 1/2
ivanzaharov [21]1 year ago
3 0

Answer:

p= \dfrac{1}{2}

Step-by-step explanation:

Given equation:

p^3=\dfrac{1}{8}

Cube root both sides:

\implies \sqrt[3]{p^3}= \sqrt[3]{\dfrac{1}{8}}

\implies p= \sqrt[3]{\dfrac{1}{8}}

\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:

\implies p= \left(\dfrac{1}{8}\right)^{\frac{1}{3}}

\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:

\implies p= \dfrac{1^{\frac{1}{3}}}{8^{\frac{1}{3}}}

\textsf{Apply exponent rule} \quad 1^a=1:

\implies p= \dfrac{1}{8^{\frac{1}{3}}}

Rewrite 8 as 2³:

\implies p= \dfrac{1}{(2^3)^{\frac{1}{3}}}

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies p= \dfrac{1}{2^{(3 \cdot \frac{1}{3})}}

Simplify:

\implies p= \dfrac{1}{2^{\frac{3}{3}}}

\implies p= \dfrac{1}{2^{1}}

\implies p= \dfrac{1}{2}

You might be interested in
Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
vesna_86 [32]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

5 0
2 years ago
How many Mexican pesos can Leon buy with his dollars?
erik [133]

Multiply the amount per dollar offered by a bank, by the number of dollars you want to exchange it all depends on exchange rate they have it at.
6 0
3 years ago
What is the inverse of f(x) = sqft x+ 3
grin007 [14]

Answer:

f^{-1} (x)=x^{2} -3

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x+3}

We can find the inverse function by exchanging x and y, and then solve for y.

y=\sqrt{x+3}

Replace x with y.

x=\sqrt{y+3}

square both sides

x^2=y+3

y=x^2-3

Hence,

f^{-1} (x)=x^{2} -3

8 0
3 years ago
A<br>T<br>R<br>C<br>CR-12 cm<br>RE<br>11<br>TI-<br>IV.<br>VE-<br>CE<br>EA<br>AT​
Afina-wow [57]

Answer:

i think those are cord nits correct me if im wrong i might be

Step-by-step explanation:

5 0
3 years ago
This is my 3 question please answer it
balu736 [363]

Answer:

A

Step-by-step explanation:

Hope it helps!

4 0
2 years ago
Other questions:
  • Please help me !!!!!
    8·1 answer
  • a) If four cards are drawn from a standard deck of 52 cards and ARE replaced, what is the probability of getting at least one he
    9·1 answer
  • At the factory 16% of the pens were defective. If there are 75 pens ,how many are defective?​
    6·1 answer
  • Please help pre algebra it’s super hard
    11·1 answer
  • What is 10and 1 half divided by 7 eights​
    11·2 answers
  • 5) The sales tax in the town where Amanda lives is 5%. Amanda paid $35
    15·1 answer
  • Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.
    15·1 answer
  • The decimal equivalent of 10^-2 is
    6·1 answer
  • What is 3x1/4 please help
    5·1 answer
  • Solve log2(x) – log2(3) = 2.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!