6y + 12x + 4y - 9x - 3x<br> Combining like terms <br> I need some help!

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

ra1l [238]

The expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

<h3>What are Exponents?</h3>

Exponents are the base raised to a power, It is written in the superscript of a number.

The expression given in the statement can be written as

$\rm \dfrac{ 2^{7/8}}{2^{1/4}}$

By the Exponent rule,

$\rm \dfrac{a^m}{a^n} = a^{m-n}$

So the expression can be written as

= $\rm 2^{5/8}$

= $\rm \sqrt[8]{2^5}$

Therefore, in radical form, the expression will be written as $\rm \sqrt[8]{2^5}$ ., the correct option is A.

The complete question is

Rewrite the rational exponent as a radical by extending the properties of integer exponents.

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

To know more about Exponents

brainly.com/question/5497425

#SPJ2

6 0

2 years ago

If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?

elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

$\tan(\theta) = \frac{h}{d}$

Where:

$\theta = 40^o$
h represents the height of the building; h = 130
d represents the distance from the building

So, we have:

$\tan(40) = \frac{130}{d}$

Make d the subject

$d = \frac{130}{\tan(40)}$

Evaluate tan(40)

$d = \frac{130}{0.8391}$

$d = 154.93$

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

$\Delta d = 172.53 - 154.93$

$\Delta d = 17.6$

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0

2 years ago

Can someone please give me the (Answers) to this? ... please ...

Lady bird [3.3K]

Answer:

1a) Obtuse

1b) Alternate inner angles

1c) x = 101 degrees

2a) Obtuse

2b) Alternate outer angles

2c) x = 147 degrees

Step-by-step explanation:

I hoped these helped. If possible, may I have brainliest :)

4 0

2 years ago

Let f(x)=3x^3-5x^2-8k-1, where k is a constant. When f(x) is divided by x-k, the quotient is g(x) and the remainder is 3k+2. Fin

Irina18 [472]

I think its like this.

6 0

3 years ago

The ratio of two similar polygons is 3:5. The perimeter of the larger polygon is is 150 centimeters. What is the perimeter of th

Effectus [21]

Think of it like this 3/5=x/150

4 0

3 years ago

6y + 12x + 4y - 9x - 3x Combining like terms I need some help!