Explain why the square roots of a number is defined to be equal to that the 1/2 power?

Explanation:

It falls out from the definition of a square root and the rules of exponents.

If r is a square root of x, then ...

  r×r = x

The rules for exponents tell you ...

  (a^b)(a^c) = a^(b+c)

So if r is some power (a) of x, then ...

  r×r = (x^a)(x^a) = x^(a+a) = x^(2a)

but we have said that r×r = x, so ...

  x^(2a) = x = x^1

Equating exponents, we have ...

  2a = 1

  a = 1/2

So ...

  r = x^(1/2) . . . . . the square root of x

henry ordered 5 large pizzas

step-by-step explanation:

sorry no step by step

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.