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2 years ago

Simplify the monomials

Mathematics

1 answer:

Zielflug [23.3K]2 years ago

7 0

Answer:

$(4a)^{-3}*^{-4}$

$x^m*x^n=x^{m+n}$

$(4a)^{-3}*a^{-4}$

$(-4)^{-3}\: a^{-3}*a^{-4}$

$4^{-3}\:a^{-3-4}$

$\cfrac{1}{4^3} \:a^{-7}$

$\boxed{\frac{1}{64a^{7}} }$

$(3xy)^2*(-4x^3y^2)^3$

$9x^2y^2*(64x^9y^6)$

$\boxed{-576x^{11}y^8}$

$(4a^{-1}b^5c^{-3})^3$

$(4)^3(a^{-1})^3(b^5)^3(c^{-3})^3$

$(4*4*4)\:a^{-1*3}\:b^{5*3}\:c^{-3*3}$

$64\:a^{-3}b^{15}c^{-9}$

$\boxed{\frac{64b^{15}}{a^3c^9}}$

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the lions won 16 games last year. this year the lions won 20 games. what is the percent increase in number of games the lions wo

jarptica [38.1K]

Last year won the lions 16 games last year and into this year the Lions won 20 games.

as the percentage increase is:

20/16

(20/4) / (16/4)

5/4
<span>
1.25 (125%)</span>

6 0

3 years ago

Jackson had 1, 3/8 kg of fertilizer he used some to fertilize a flower bdd and he only had 2/3kg left how much fertilizer was us

ddd [48]

Answer:

Jackson had 1, ⅜ kg of fertilizer he used some to fertilize a flower bed and he only had ⅔ kg left how much fertilizer was used in the flower bed

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

1/3 * (1/2 - 3 3/8) = -23/

≅ -0.9583333

Spelled result in words is minus twenty-three twenty-fourths.

How do you solve fractions step by step?

Conversion a mixed number 3 3/

to a improper fraction: 3 3/8 = 3 3/

= 3 · 8 + 3/

= 24 + 3/

= 27/

To find new numerator:

a) Multiply the whole number 3 by the denominator 8. Whole number 3 equally 3 * 8/

= 24/

b) Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27

c) Write a previous answer (new numerator 27) over the denominator 8.

Three and three eighths is twenty-seven eighths

Subtract: 1/

- 27/

= 1 · 4/

2 · 4

- 27/

= 4/

- 27/

= 4 - 27/

= -23/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 8) = 8. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 8 = 16. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one half minus twenty-seven eighths = minus twenty-three eighths.

Multiple: 1/

* the result of step No. 2 = 1/

* (-23/

) = 1 · (-23)/

3 · 8

= -23/

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-23, 24) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.

In words - one third multiplied by minus twenty-three eighths = minus twenty-three twenty-fourths

5 0

2 years ago

If Frida has five friends who are available available to go to the movies with her but she only has four extra tickets how many

Fynjy0 [20]

Answer:

Step-by-step explanation: she only has 3 because of herself

3 0

2 years ago

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p=−0.

n200080 [17]

By solving a quadratic equation, it can be verified that

The owl population will disappear after 329.12 years

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A two degree equation is known as quadratic equation.

Here, a quadratic equation needs to be solved

The decreasing population, p, of owls in a national park is being monitored by ecologists and is modeled by the equation p= $-0. 4t^2+128t+1,200$

For population to disappear, p =0

$-0. 4t^2+128t+1,200 = 0\\0.4t^2 -128t - 1200 = 0\\4t^2 - 1280t - 12000 = 0\\4(t^2 - 320 t - 3000) = 0\\t^2 - 320t -3000 = 0\\t = \frac{-(-320)\pm \sqrt{(-320)^2 - 4 \times 1 \times (-3000)}}{2 \times 1}\\t = \frac{320 \pm 338.23}{2}\\t = \frac{320 + 338.23}{2} \ or \ t = \frac{320 - 338.23}{2}\\t = 329.115 \ or \ t = -9.115$

But t = -9.115 is not possible as time cannot be negative

So, the owl population will disappear after 329.12 years

To learn more about quadratic equation, refer to the link-

brainly.com/question/1214333

#SPJ4

7 0

9 months ago

A model car travels around a circular track with radius 5 feet. Let Z denote the distance between the model car and a fixed poin

Eddi Din [679]

Answer:

$\frac{dZ}{dt}$ = $\frac{40}{\sqrt{545} }$ , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.

Step-by-step explanation:

The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y, $\frac{dx}{dt}$ , and $\frac{dy}{dt}$ gives $\frac{dZ}{dt}$ = $\frac{40}{\sqrt{545} }$ ,

5 0

2 years ago