Ask question

Ask question

All categories

2 years ago

15

Change the negative exponent to a positive exponent

1 answer:

Luba_88 [7]2 years ago

3 0

Answer:

$\frac{1}{ {6}^{8} }$

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

You might be interested in

Limit (sin4x-4sinx)/x^3 when x close to zero

BartSMP [9]

$\Large \boxed{\sf \bf \ \ \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}=-10 \ \ }$

Step-by-step explanation:

Hello, please consider the following.

Using Maclaurin series expansion, we can find an equivalent of sin(x) in the neighbourhood of 0.

$sin(x) \sim \left(x-\dfrac{x^3}{3!}\right)\\\\\text{So, in the neighbourhood of 0}\\\\\begin{aligned}(sin(4x)-4sin(x)) &\sim \left( 4x-\dfrac{(4x)^3}{3!}-4x+\dfrac{4x^3}{3!}\right)\\\\&\sim \left(\dfrac{x^3*4*(1-4^2)}{3*2}\right)\\\\&\sim \left(\dfrac{x^3*2*(-15)}{3}\right)\\\\&\sim \left(x^3*2*(-5)\right)\\\\&\sim \left(x^3*(-10)\right)\\\end{aligned}$

Then,

$\displaystyle \lim_{x\rightarrow0} \ {\dfrac{sin(4x)-4sin(x)}{x^3}}\\\\= \lim_{x\rightarrow0} \ {\dfrac{-10*x^3}{x^3}}\\\\=-10$

Thank you

4 0

3 years ago

Read 2 more answers

10.<br> 25<br> xº<br> 40<br> Solve for x. Round to the nearest tenth

xxTIMURxx [149]

Answer:

51.32

Step-by-step explanation:

∠B = arcsin(b·sin(A)a)

= 0.67513 rad = 38.682° = 38°40'56"

∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"

c = a·sin(C)sin(A) = 31.22499

3 0

3 years ago

Which scale factors produce a contraction under a dilation of the original image? Select each correct answer. −6 −0.5 0.5 6

Step2247 [10]

A contraction would make the image smaller.

A negative number reflects the image and changes the size based on the number.

To make an image smaller the factor needs to be less than 1

so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.

7 0

3 years ago

Read 2 more answers

What is the volume of a shipping cube with dimensions of 2 and 1/2 feet

Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

$V = l ^ 3$

Where:

l: It's the side of the cube

According to the statement data:

$l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}$

Substituting in the formula we have:

$V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625$

Thus, the shipping cube volume is $15.625 \ ft ^ 3$

Answer:

$15.625 \ ft ^ 3$

6 0

3 years ago

The price of an item has been reduced by 85% the original price was $95 what is the price of the item

Yanka [14]

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25

3 0

2 years ago