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
laila [671]
3 years ago
5

Please help I've been stuck on this question for a while now. How do I solve (1/2)^4 (1/2)^-2? It has to do with Multiplying and

Dividing Expressions with Exponents. Please show work so I may figure it out on my own.
Mathematics
1 answer:
zaharov [31]3 years ago
4 0

The value of the expression is 0.25

Explanation:

The expression is $\left(\frac{1}{2}\right)^{4}\left(\frac{1}{2}\right)^{-2}$

Since, the base of the expression is the same. Then, by "product rule", when multiplying two powers that have the same base, you can add the exponents.

Thus, we have,

$\left(\frac{1}{2}\right)^{4}\left(\frac{1}{2}\right)^{-2}=\left(\frac{1}{2}\right)^{4-2}$

Adding the exponents, we have,

$\left(\frac{1}{2}\right)^{4}\left(\frac{1}{2}\right)^{-2}=\left(\frac{1}{2}\right)^{2}$

Applying exponent rule, $\left(\frac{a}{b}\right)^{c}=\frac{a^{c}}{b^{c}}$, we have,

$\left(\frac{1}{2}\right)^{2}=\frac{1^{2}}{2^{2}}$

Simplifying, we get,

\frac{1}{4}

Dividing, we have,

0.25

Thus, the value of the expression is 0.25

You might be interested in
Solve the formula for R.
kati45 [8]

The Last Answer

R = PV/nT

6 0
3 years ago
Read 2 more answers
The vertex of this parabola is at (2,-1) when the y value is 0 and then x value is 5 what is the coefficient of the squared term
Darina [25.2K]

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}


now, let's expand the squared term to get the standard form of the quadratic.


\bf y=\cfrac{1}{9}(x-2)^2-1\implies y=\cfrac{1}{9}(x^2-4x+4)-1 \\\\\\ y=\cfrac{1}{9}x^2-\cfrac{4}{9}x+\cfrac{4}{9}-1\implies \stackrel{its~coefficient}{y=\stackrel{\downarrow }{\cfrac{1}{9}}x^2-\cfrac{4}{9}x-\cfrac{5}{9}}

4 0
3 years ago
Read 2 more answers
Solving a distance, rate, time problem using a lineal equ
mixas84 [53]
2999 miles bec they are quick
6 0
3 years ago
Find the value of x. Round to the nearest tenth.
timurjin [86]

Answer:

1.6 ft

Step-by-step explanation:

If you use the Pythagorean Theorem to solve for x, you get:

x=\sqrt{2.1^2-1.4^2}

x=\sqrt{2.45} = 1.56524758425

Rounded to the nearest tenth, the answer is 1.6

8 0
3 years ago
The regular price for a sweater is $48. The store is having a buy one get one 1/2 off sale. If you buy 4 sweaters for that price
arsen [322]
48+48(the two sweaters you pay full price for)+48(the two half off sweaters are 24$ a piece) so your total for all four sweaters is 144$
4 0
3 years ago
Other questions:
  • Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total o
    13·2 answers
  • A jar of jam contains 55% fruit.How much fruit would I need for ten 454g jars of jam?​
    8·2 answers
  • Which angle is NOT congruent to <4
    6·1 answer
  • Use the partial quotient strategy to solve 74 ➗ 3
    9·2 answers
  • 2x+x(x+6)<br> Solve to the lowest equation/number
    12·2 answers
  • The wingspans, in inches, of seven basketball players are listed below.
    11·1 answer
  • Plzzzzzzzzzzzzzz help.
    14·2 answers
  • What is the unknown value representing the unit rate
    11·1 answer
  • Helpp me pleasee correct answers! (10 points )
    6·1 answer
  • HELP PLEASE!! WILL CROWN BRAINLIEST.....
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!