All categories

3 years ago

Choose the correct simplification of the expression (a^4/b^2)^3

1 answer:

4 0

The answer is B: <span> a^12/b^6

Proof:

Simplify the following:
(a^4/b^2)^3

Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)

3×4 = 12:
a^12/(b^2)^3

Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6</span>

You might be interested in

A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,

Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

$n = 38$ --- the number of slots
$red = 18$ . --- the number of red slot
$black = 18$ . --- the number of black slot
$green = 2$ . --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

$p = \frac{18}{38}$

Simplify

$p= \frac{9}{19}$

The probability that the ball does not land on a red slot is calculated as:

$q = \frac{18+2}{38}$

$q = \frac{20}{38}$

Simplify

$q = \frac{10}{19}$

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

$P(R = r) = ^nC_rp^rq^{n-r}$

Where:

$n = 7$

$r = 3$

So, we have:

$P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}$

$P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4$

$P(R = 3) = 0.2854$

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

Read 2 more answers

HELP PLEASE!!!!!!!! ASAP!!!!!!!!

Serjik [45]

37 degrees Ill explain in a second but thats it!

6 0

3 years ago

Read 2 more answers

What is 5/7 of 14.7 kg plz helppp

eimsori [14]

Answer: i'm pretty sure the answer is 10.5

Step-by-step explanation: <em>i multiplied 5/7 by 14.7 </em>

I'm sorry if this is wrong but if it's right i need brainliest to rank up so please mark me brainliest:)

5 0

3 years ago

Read 2 more answers

HELP PLSSSSSESSSSSSSSSSSS

bekas [8.4K]

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

=134

8 0

2 years ago

I NEED WORK

vazorg [7]

2)The goal is to isolate the variable and get is down to x<?. This is actually a two step inequality problem. 0.7x - 2 < 5.5 +2 +2 0.7x<7.5 This implies: x<10.714 The way to graph this is to place an open circle of the number 10.714 on the number line indicating this number is not included as a solution to the inequality. Then draw the arrow going left from the open circle indicating all numbers from -∞ to 10.714.

8 0

2 years ago

Read 2 more answers