What is the connection between rational exponents and radicals?

2 answers:

8 0

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}$

WARRIOR [948]3 years ago

5 0

Radicals and rational exponents are alternate ways of expressing the same thing.
n√x<u />

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Square root of 9/100

timama [110]

$\sqrt{ \frac{9}{100} }$
= $\frac{3}{10}$

5 0

3 years ago

If tan theta =24 over 45 find tan theta minus cos theta. <br>

juin [17]

Answer:

24/45 - 45/51

Step-by-step explanation:

Tangent can be expressed as opposite/adjacent. So, create a right triangle with one leg = 24 and the other = 45. The hypotenuse is 51 by the Pythagorean theorem. Cosine is adjacent/hypotenuse, so it would be 45/51.

4 0

3 years ago

If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

olga_2 [115]

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6 0

3 years ago

line segment with one endpoint at (2,5) is divided in the ratio 4:5 by the point (10,1). which coordinates could represent the o

rodikova [14]

Answer:

(20,-4)

Step-by-step explanation:

We are given;

One end point as (2,5)

Point of division as (10,1)

The ratio of division as 4:5

We are required to calculate the other endpoint.

Assuming the other endpoint is (x,y)

Using the ratio theorem

If the unknown endpoint is the last point on the line segment;

Then;

$\left[\begin{array}{ccc}10\\1\end{array}\right]$ = $\frac{4}{5} \left[\begin{array}{ccc}x\\y\end{array}\right]$ + $\frac{5}{9}\left[\begin{array}{ccc}2\\5\end{array}\right]$