Ask question

Ask question

All categories

3 years ago

12

The expression

x^{1/2}y^{-2/3})^-6 " alt="( x^{1/2}y^{-2/3})^-6 " align="absmiddle" class="latex-formula"> is equivalent to
A. $\frac{y^4}{x^3}$
B. $\frac{x^3}{y^4}$
C. $\frac{1}{x^3y^4}$
D. $x^3y^4$

Please Show All Work

1 answer:

forsale [732]3 years ago

8 0

Y ^(-2/3)^-6 = y^12/3 = y^4

x^(1/2)^ -6 = x^-3 = 1 x^3

so the answer is y^4 * 1 /x^3 = y^4 / x^3

A

You might be interested in

(4.3 * 10-3)(2 x 10-2)

FinnZ [79.3K]

<em>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</em>

<em>➷ </em> $(4.3\cdot10-3)(2\cdot 10-2)$ <em />

<em>➷ </em> $= (43 - 3)((2) (10) -2)$ <em />

<em>➷ </em> $= 40 ((2) (10)-2)$ <em />

<em> ➷ </em> $= 40(20 - 2)$ <em />

<em> ➷ </em> $= (40)(18)$ <em />

<em> ➷ </em> $= 720$ <em />

<em>✽</em>

<em>➶ Hope This Helps You!</em>

<em>➶ Good Luck (:</em>

<em>➶ Have A Great Day ^-^</em>

<em>↬ May ♡</em>

<em />

3 0

4 years ago

Read 2 more answers

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

4 years ago

Read 2 more answers

What is 12/4<br><br> what is 6/3<br><br> and what is 2/1

gregori [183]

12/4=3
6/3=2
and 2/1=2

Hope this helps!

7 0

3 years ago

Read 2 more answers

Can anyone help me?.

4vir4ik [10]

The third one is the correct answer

7 0

3 years ago

The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right ang

serious [3.7K]

16 x 8 = 128 square feet (area of rectangle)

shaded:
8 x 2 = 16
10 x 1 = 10
1/2 (3)(10) = 15

total shaded area: 16+10+15 = 41 square feet
total non-shaded area = 128 - 41 = 87 square feet

answer

area of the shaded region = 41 square feet
area of the non - shaded region = 87 square feet

5 0

3 years ago