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3 years ago

6

Does a negative exponent result in a negative answer

1 answer:

madam [21]3 years ago

5 0

No! Remember, you see a negative exponent, that just means the reciprocal of the positive exponent. So 1 over negative 2 to the third power, to the positive third power. And this is equal to 1 over negative 2 times negative 2 times negative 2. ... So this is equal to negative 1/8.

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28-81%29x%5E%7B2%7D%20%7D" id="TexFormula1" title="\sqrt{(-81)x^{2} }" alt="\sqrt{(

SSSSS [86.1K]

Answer:

We conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

Step-by-step explanation:

Given the radical expression

$\sqrt{\left(-81\right)x^2}$

simplifying the expression

$\sqrt{\left(-81\right)x^2}$

Remove parentheses: (-a) = -a

$\sqrt{\left(-81\right)x^2}=\sqrt{-81x^2}$

Apply radical rule: $\sqrt{-a}=\sqrt{-1}\sqrt{a},\:\quad \mathrm{\:assuming\:}a\ge 0$

$=\sqrt{-1}\sqrt{81x^2}$

Apply imaginary number rule: $\sqrt{-1}=i$

$=i\sqrt{81x^2}$

Apply radical rule: $\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0$

$=\sqrt{81}i\sqrt{x^2}$

$=9i\sqrt{x^2}$

Apply radical rule: $\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0$

$=9ix$

Therefore, we conclude that:

$\sqrt{\left(-81\right)x^2}=9ix$

7 0

3 years ago

The charge to rent a trailer is $2525 for up to 2 hours plus $99 per additional hour or portion of an hour. Find the cost to r

Ksju [112]

The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is $25 for up to 2 hours plus $9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 hours, 3 hours, and 8.7 hours.

Then graph all ordered pairs, (hours, cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

4 0

3 years ago

Degree measure of five thirds of a right angle

pychu [463]

150 degrees
hope this helps

6 0

3 years ago

PLEASE HELP !!!!!!!!!!!!

V125BC [204]

The answer would be b - associate w it

3 0

3 years ago

Nate's quiche is cut into 7 equal parts. Only 3/7 of the quiche is left. He wants to give 3 friends an equal part. Write 3/7 as

AleksandrR [38]

It will equal 3 because
7/1×3/7 will equal 3

5 0

3 years ago