The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>
The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
![a^{\frac{x}{y} } = \sqrt[y]{a^x}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%20%7D%20%3D%20%5Csqrt%5By%5D%7Ba%5Ex%7D)
; fractional exponent
<h3>Calculation:</h3>
The given expression is 
Using calculator: = 0.0265
Applying the exponent rule for evaluating the given expression:
Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒ 
Applying fractional exponent rule;
I.e.,
⇒ ![\frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B126%5E%7B3%2F4%7D%7D%3D%5Cfrac%7B1%7D%7B%5Csqrt%5B4%5D%7B126%5E3%7D%20%7D)
⇒ 1/![\sqrt[4]{2000376}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2000376%7D)
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
Learn more about exponent rules here:
brainly.com/question/11975096
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From the statement of the problem, we know that:
• a train starts at City A and travels 2,158 km to City B,
,
• then it travels 3,793 km from City B to City C.
The distance between City A and City C is equal to the sum of the distance from City A to City B, and the distance from City B to City C. So the distance between City A and City C is 2,158 km + 3,793 km = 5951 km.
Looking at the answer of Clay:
<em>2,158 + 3,793 = (2,158 + 7) + (3,793 + 7) = 2,165 + 3,800 = 5,965</em>
We see that he added 7 km to each of the distances, that's the reason why he found a different a wrong result.
Answer:
Step-by-step explanation:
Let the number be x
<u>Then we have the equation</u>
- (2x + 6)*(-3) = -3x + 54
- -6x - 18 = -3x + 54
- 6x - 3x = -18 - 54
- 3x = -72
- x = -72/3
- x = - 24
Answer:
c=71/23 or 3 2/23 or 3.08695652...
