why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?

Answers

Answer 1

Answer: Any number above 1 gets greater, below 1 smaller (when above 0), while 1 itself remains the same. Negative numbers are more unpredictable.

Answer 2

Answer:

Answer:

Because whole numbers are greater than 1 and any number greater than 1 multiplied by it self several times result in a greater number, but proper fractions are numbers less than 1, and a number less than 1 multiplied by it self several times result if a smaller number.

Explanation:

Whole numbers areraised to an exponent , means that such number is multiplied by itself (as many times and the exponent is).

Whole numbers are 1, 2, 3, 4, ....

Number 1 is a special case. When 1 is multiplied by it self the result is 1.

When other whole number (2, 3, 4, 5, ...) is multiplied by it self the result is a greater number. For example, 2 × 2 = 4, 3 × 3 = 9, and so on.

On the other hand, proper fractions, which are those whose numerator is less than the denominator, are less than one, and any number less than 1 multiplied by it self results in a smaller number.

For example: 1/2 × 1/2 = 1/4 or 0.5 × 0.5 = 0.25. This is always true for any proper fraction (a number less than 1).

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Answers

I can help you! But first, could you please give me the full question?

Hi i am Grace and i realllyyyyyy need help on this. If you could please help that would be great.

Answers

The probability of picking a black ball first is $(4)/(5)$ , because there are 4 black balls and 1 white ball which is 5 balls in total. After picking the first ball, 4 balls remain - 3 black and 1 white, so the probability of picking a white ball is $(1)/(4)$ .
So, the probability of picking a black ball first followed by a white ball is $(4)/(5)\cdot(1)/(4)=(1)/(5)$

Write each decimal as a fraction or mixed number in simplest form.1.) 0.83
2.) 3.75
I need the answer to these two, for the 0.83 I got 83/100

Answers

It is 83/100 and the other would be 3 3/4.

The answer are
1. 83/100
2. 3 and 3/4 or 15/4

A store is having a sale to celebrate president's Day. Every item in the store is advertised as one fifth off the original price. If an item is marked with a sale price of $140, what was its original price? Show your work.

Answers

1/5th off = 20% off

80% = $140
1% = $1.75
100% = $175

Answer is $175

Final answer:

The original price of an item at the store's President's Day sale, that's now reduced to $140 after a fifth off, would have been $175.

Explanation:

The subject of this question is mathematics, specifically applying percentages and fractions in context of a store sale. To solve this problem, you need to understand that a fifth off the original price means the sale price is 80% (or 4/5) of the original. If $140 is 80% of the original price, you can find the original price by dividing $140 by 0.8.

Here are the calculations: