Write each expression below in radical form and compute the value without using a calculator.

Mathematics

1 answer:

gregori [183]3 years ago

5 0

Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:

$a^{\frac{b}{c}}=\sqrt[c]{a^b}$

So, you have

$25^{\frac{5}{2}}=\sqrt{25^5}=\sqrt{(5^2)^5}=5^5$

And similarly,

$81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7$

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Can someone help me out

vichka [17]

Answer: LAST OPTION.

Step-by-step explanation:

The Pythagorean Theorem states the following relationship between the three sides of a triangle that has an angle of 90 degrees, known as "Right triangle":

$a^2=b^2+c^2$

Where "a"is the hypotenuse and "b" and "c" are the legs of the right triangle.

If the triangle ABC is a right triangle then AB must be equal to $BC^2+AC^2$ , then, you need to substitute the values into $a^2=b^2+c^2$ to check this: