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3 years ago

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

Mathematics

2 answers:

never [62]3 years ago

7 0

54x^9y^17 ez ez ez ez ez ez

Semenov [28]3 years ago

6 0

Step by step solution :Step 1 :Equation at the end of step 1 : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step 2 :Equation at the end of step 2 : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step 3 : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :

3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step 3 : 27 4 • —————— 16x6y8 Step 4 :Final result : 27 ————— 4x6y8

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The Big Ben clock tower in London stands at a height of 316 feet. What is the metric equivalent in meters?

RideAnS [48]

96.31680m is the answer

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3 years ago

Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no othe

Dimas [21]

Answer:

80,000

Step-by-step explanation:

$300÷3.75%=8,000×10=80,000

4 0

3 years ago

Read 2 more answers

The area of a rectangle is 77ft and the length of the rectangle is 3ft more than double the width. Find the dimensions of the re

Radda [10]

Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.

3 0

3 years ago

Consider two circular swimming pools. Pool A has a radius of 48 feet, and Pool B has a diameter of 29.46 meters. Complete the de

Ber [7]

Answer: pool B has a greater circumference.

Step-by-step explanation:

The formula for determining the circumference if a circle is expressed as

Circumference = 2πr

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Pool A has a radius of 48 feet.

1 foot ≈ 0.305 meters

48 feet = 48 × 0.305 = 14.64 meters

The circumference of pool A is

2 × 3.14 × 14.64 = 91.94 meters

Pool B has a diameter of 29.46 meters. Radius = diameter/2

Radius of pool B = 29.46/2 = 14.73 meters

The circumference of pool B is

2 × 3.14 × 14.73 = 92.5 meters

Therefore, pool B has a greater circumference.

7 0

3 years ago

Give an example of this when adding two rationalnumbers with different signs and provide the product.

kolezko [41]

ANSWER:

$\begin{gathered} \frac{4}{5}+-\frac{8}{3}=-\frac{28}{15} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{32}{15} \end{gathered}$

STEP-BY-STEP EXPLANATION:

Rational numbers are all numbers that can be expressed as a fraction, that is, as the quotient of two whole numbers.

Therefore, an example would be:

$\begin{gathered} \frac{4}{5}\text{ and - }\frac{8}{3} \\ \text{adding} \\ \frac{4}{5}+-\frac{8}{3}=\frac{4}{5}-\frac{8}{3} \\ \frac{4}{5}-\frac{8}{3}=\frac{4\cdot3-5\cdot8}{5\cdot3}=\frac{12-40}{15}=-\frac{28}{15} \\ \text{ product} \\ \frac{4}{5}\cdot-\frac{8}{3}=-\frac{4\cdot8}{5\cdot3}=-\frac{32}{15} \end{gathered}$

5 0

1 year ago