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Andreas93 [3]
2 years ago
7

Simplify: ((-3)4)².

Mathematics
1 answer:
Darina [25.2K]2 years ago
7 0

The value of the expression ((-3)^4)^2 when simplified is 6561

<h3>What are expressions?</h3>

Expressions are mathematical statements represented by numbers, arithmetic operations and variables

<h3>How to simplify the expression?</h3>

The expression is given as:

((-3)^4)^2

Start by expanding the inner bracket

((-3)^4)^2 = ((-3)*(-3)*(-3)*(-3))^2

Next, we evaluate the product (-3)*(-3)*(-3)*(-3)

This gives

((-3)^4)^2 = (81)^2

Next, expand the exponent

((-3)^4)^2 = (81) * 81

Next, we evaluate the product

This gives

((-3)^4)^2 = 6561

Hence, the value of the expression ((-3)^4)^2 when simplified is 6561

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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Answer:

Point-Slope: y+4=-\frac{1}{2}(x+3)

Slope-Intercept: y=-\frac{1}{2}x-\frac{11}{2}

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}  ). The slope-intercept formula is y=mx+b. Since we are given the point and slope, we can directly plug it into the point-slope formula.

Point-Slope

y-(-4)=-\frac{1}{2}(x- (-3))

y+4=-\frac{1}{2} (x+3)

To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.

Slope-Intercept

y+4=-\frac{1}{2}x-\frac{3}{2}

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Answer: rate of train A = 120 km/h

rate of train B = 101 km/h

Step-by-step explanation:

Let x = the speed of train A

Let y = the speed of train B

One train travels 19 km/h slower than the other. Let train B be the slower train. Therefore,

x = y + 19 - - - - - - - - - -1

Recall

Speed = distance/time

Distance = speed × time

If they meet in 3 hours, it means that train A has travelled a distance of

x × 3 = 3x km

And train B has travelled a distance of y × 3 = 3y km

Train A and Train B were 663 kilometers apart when they left their respective destinations. They left at the same time and travelled towards each other. This means that if they meet in 3hours time, they must have covered a total of 663 km. Therefore,

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Substituting x = y + 19 into equation 2, it becomes

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