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3 years ago

Is a positive integer raised to a negative power always positive

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!

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Answer:

Step-by-step explanation:

X will refer to the number.

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Please help me out ?

vova2212 [387]

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Let a and b be two sides of a triangle and c is the longest side:
$a^{2} + b^{2} \ \textless \ c^{2}$

So taking your given:

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3 years ago

The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is

creativ13 [48]

Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23

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3 years ago