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mamaluj [8]
3 years ago
9

Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0

Answer:

<h3>He should have found 8 as the exponent, not –8.</h3>

Step-by-step explanation:

Given the expression simplified by Pablo as (2^{-4})^{-2}

On simplification we have;

According to one of the law of indices (a^{m})^{n} = a^{mn}

Applying this law to the question will give;

(2^{-4})^{-2}\\=2^{-4*-2}  \\\= 2^{8}

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.

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If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total
Deffense [45]

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

Cost function would be:

Total cost = Variable cost * Number of articles + Fixed cost

TC = 40a + 500

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3 years ago
Which of the following is equivalent to -2/3?
arlik [135]

Answer:

Step-by-step explanation:

-2/3 = -4/6 = -6/9 = -8/12

= -10/15 = -12/18 = -14/21 = -16/24

= -18/27 = -20/30 = -22/33 = -24/36

= -26/39 = -28/42 = -30/45 = -32/48

= -34/51 = -36/54 = -38/57 = -40/60

= -42/63 = -44/66 = -46/69 = -48/72

= -50/75 = -52/78 = -54/81 = -56/84

= -58/87 = -60/90 = -62/93 = -64/96

= -66/99 = -68/102 = -70/105 = -72/108

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= -82/123 = -84/126 = -86/129 = -88/132

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= -98/147 = -100/150 = -102/153 = -104/156

= -106/159 = -108/162 = -110/165 = -112/168

= -114/171 = -116/174 = -118/177 = -120/180

= -122/183 = -124/186 = -126/189 = -128/192

= -130/195 = -132/198 = -134/201 = -136/204

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= -146/219 = -148/222 = -150/225 = -152/228

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= -170/255 = -172/258 = -174/261 = -176/264

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= -186/279 = -188/282 = -190/285 = -192/288

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The average distance from Earth to the sun is about 9.3×10^7 miles. The average distance from Mars to the sun is about 1.4×10^8
diamong [38]

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Finally, to find the official number of miles, you simply work the equation 140,000,000 - 9,300,000 .. giving you 130,700,000 miles.


If your teacher wants you to put it back into exponential form, then you first make the number into a decimal that is greater than one and less than ten.


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Then, what you want to do is count all of the zeros as a single exponent, giving you 5, but we're not done yet. To get the correct answer, you have to also count the numbers until you reach the decimal. Remember to take out the zeros, because they're not really necessary anymore!


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4 years ago
There are 12 students in a classroom, including the triplets joey, chloe, and zoe. If 3 of the 12 are randomly selcted to give s
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The probability of choosing Joey first is  1/12 .

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3 0
3 years ago
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