All categories

3 years ago

Evaluate: 36^(-3/2)

1 answer:

4 0

Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).

We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression

= ((1/36)^(1/2))^3= (1/6)^3= 1/216

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

You might be interested in

What is the explicit formula for this sequence?<br> -7, -3, 1, 5, ...

alukav5142 [94]

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1 Which is what the series says.

8 0

3 years ago

A = 6, b = 8, C = 10

ad-work [718]

Answer:

Step-by-step explanation:

3 0

3 years ago

Am I correct ?<br> ( √2 - √3 )² =1 - √2

Arturiano [62]

You are not correct, the right answer should be 5-2 square root symbol. I couldn't find out how to put one there.

4 0

3 years ago

Please choose the answer that describes the scientific notation for 3,134,000,000

topjm [15]

Answer:

= 3.134 × 10^9

(scientific notation)

= 3.134e9

(scientific e notation)

= 3.134 × 10^9

(engineering notation)

(billion; prefix giga- (G))

= 3134000000

(real number)

Step-by-step explanation:

6 0

3 years ago

Write an equation in slope-intercept form for the following line:<br><br> (-14,1) and (13,-2)

alex41 [277]

Answer:

$\large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }$

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

$\large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }$

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

$\large \boxed{y = mx + b}$

We already know m-value as we substitute it.

$\large{y = - \frac{1}{9} x + b}$

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}$

Finally, we know b-value. Then we substitute it in our equation.

$\large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }$

4 0

3 years ago