All categories

2 years ago

Simplify the expression where possible. (r ^-3 s^2 t) ^4

1 answer:

3 0

$Use\\\\(ab)^n=a^nb^n\\\\ (a^n)^m=a^{n\cdot m}\\-------------------\\\\\left(r^{-3}s^2t\right)^4=\left(r^{-3}\right)^4\left(s^2\right)^4(t)^4=r^{(-3)(4)}s^{(2)(4)}t^4\\\\=\boxed{r^{-12}s^8t^4}\to\boxed{\dfrac{s^8t^4}{r^{12}}}$

You might be interested in

Directions:Simplify the following monomials.SHOW ALL STEPS!

Mandarinka [93]

Answer:

7. Ans;

$\frac{6 {a}^{5} {b}^{7} }{ - 2 {a}^{3} {b}^{7} } = \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} ) }{ - 2 {a}^{3} {b}^{7} } = - 3 {a}^{2}$

___o____o___

8. Ans;

$\frac{ - 20 {x}^{3} {y}^{2} }{ - 5 {x}^{3}y } = \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y } = 4y$

___o___o___

9. Ans;

$\frac{ - 16 a {b}^{4} }{4 {b}^{3} } = \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} } = - 4ab$

____o____o____

10. Ans;

$\frac{21 {m}^{8} {n}^{5} }{27 {m}^{5} {n}^{4} } = \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n) }{3 {m}^{5} {n}^{4}(9) } = \frac{7 {m}^{3}n }{9}$

___o___o___

11. Ans;

$\frac{ - 15 {x}^{5} {y}^{4} }{45x {y}^{3} } = \frac{ 15x {y}^{3} ( - {x}^{4} y)}{15x {y}^{3}(3) } = - \frac{ {x}^{4}y }{3}$

___o___o___

12.Ans;

$\frac{7 {p}^{2} {q}^{2} }{14 {p}^{2} {q}^{2} } = \frac{7 {p}^{2} {q}^{2} }{7 {p}^{2} {q}^{2} (2) } = \frac{1}{2} = 0.5$

I hope I helped you^_^

7 0

2 years ago

Read 2 more answers

Find the area of the sector. Use π = 3.14. 120° 11 mi

Nady [450]

Answer:

Step-by-step explanation:

4 0

1 year ago

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

dangina [55]

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

7 0

2 years ago

Read 2 more answers

I don't get this one?

Vlad1618 [11]

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

7 0

2 years ago

A.Solve for x. Then, using that information, find the measure of

Vedmedyk [2.9K]

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

8 0

2 years ago