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amm1812
3 years ago
15

Evaluate the expression. [(3–5)(34)]3 1 Innermost group, apply the product of powers: [3–1]3 2 Apply the power of a power: 3–3 3

Apply the negative exponent: 1 33 4 Simplify: 1 x What is the value of x in the simplified expression?
Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

x=27

Step-by-step explanation:

To evaluate the expression: [(3^{-5})(3^4)]^3

Step 1:  Innermost group, apply the product of powers (a^x \times a^y =a^{x+y}

Therefore:

(3^{-5})(3^4)=3^{-5+4}=3^{-1}

We then have:

=[3^{-1}]^3

Step 2: Apply the power of a power

[3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}

Step 3: Apply the negative exponent

3 ^{-3} =\dfrac{1}{3^3}

Step 4: Simplify

\dfrac{1}{3^3}=\dfrac{1}{27}

Therefore, the value of x in the simplified expression is 27.

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Step-by-step explanation:

8 a-4 a+6ab+2ab+5 b+3 b

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3 years ago
What is the solution of the system?
mario62 [17]
Y + 7 = 3x.....y = 3x - 7

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when ur variables cancel out and u r left with an incorrect statement, this means there is no solution because ur lines are parallel

so ur answer is : no solution
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Solve 3x+k= c for x.
Debora [2.8K]

Answer:

x = \frac{c-k}{3}

Step-by-step explanation:

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5 0
3 years ago
there are 36 capenters in a crew. Ona certain day,29 were present .What percent showed up for work?[round to the nearest tenth
aliina [53]

Answer:


Step-by-step explanation:

We assume, that the number 36 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 36, so we can write it down as 100%=36.

4. We know, that x% equals 29 of the output value, so we can write it down as x%=29.

5. Now we have two simple equations:

1) 100%=36

2) x%=29

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=36/29

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for 29 is what percent of 36


100%/x%=36/29

(100/x)*x=(36/29)*x - we multiply both sides of the equation by x

100=1.24137931034*x - we divide both sides of the equation by (1.24137931034) to get x

100/1.24137931034=x

80.5555555556=x

x=80.5555555556


now we have:

29 is 80.5555555556% of 36 to the nearest tenth is 81%

4 0
3 years ago
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