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3 years ago

Can someone help simplify?: -8x^3y2(2x^4y^4)

1 answer:

3 0

So the rule with multiplying exponents of the same base is to add the exponents together. Applying this rule here would look like this:

$-8x^3y^2*2x^4y^4=(-8*2)x^{3+4}y^{2+4}=-16x^7y^6$

In short, your simplified expression is going to be -16x^7y^6.

You might be interested in

Who had a head start, and how many miles was the head start? Rita had a 28-mile head start. Roger had a 26-mile head start. Roge

serg [7]

Complete question is;

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance for the same section of the trip is displayed below. Who had a head start, and how many miles was the head start?

A) Rita had a 28-mile head start.

B) Roger had a 26-mile head start.

C) Roger had a 25-mile head start.

D) Rita had a 22-mile head start.

Answer:

A) Rita had a 28-mile head start.

Step-by-step explanation:

Let's assume that Roger travelled a distance of 60 miles

And that;

Rita travelled a distance of 32 miles

We are told that they travelled between Phoenix and San Diego.

Thus, it means that if they have different distances but covered same section of the trip, it means the one with higher distance started before the section of the trip.

Thus, it means that Rita had a head start of Roger since she covered only 32 miles.

Thus;

Rita had a head start of; 60 - 32 = 28 miles

4 0

3 years ago

Paul deposits $4000 in a bank which pays a compound interest

yawa3891 [41]

Answer: He will have 3,200 in 5 years.

Step-by-step explanation: This is because 4% of $400 is 160, and if you multiply that by 5 you get 800, then you just subtract that from the total amount and you get your final answer.

5 0

3 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

pantera1 [17]

Answer:

974

Step-by-step explanation:

Initial × Increase percentage ^ Time

500 × (1 + 10%)^(70/10)

500 × 1.1^7

= 974.36

The population of the town in 70 years will be 974.

5 0

3 years ago

A student throws a rock into the sky from the top of the Webster build- ing with an angle α = π 4 from the horizontal line and t

lord [1]

Answer:

r(0) = <0, 100> . . . . . . . .meters
r'(0) = <7.071, 7.071> . . . . meters per second

Step-by-step explanation:

<u>Initial Position</u>

The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...

r(0) = <0, 100>

<u>Initial Velocity</u>

The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...

r'(0) = <10·cos(π/4), 10·sin(π/4)>

r'(0) ≈ <7.071, 7.071>

7 0

3 years ago

What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60°?

Sergeu [11.5K]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta\pi r^2}{360}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}
\end{cases}$

7 0

3 years ago