A number is squared. The result is squared, then that result is squared. The final number is 6561

the question is saying a number is square, then squared again, and finally square again, making that number squared itself up to 3 times. So we take 6561 and we square root it 3 times. Square root of 6561 is 81, square of 81 is 9, and finally square root if 9 is 3. The final answer is 3.

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-02-11T09:45:48+01:00

A number is squared. The result is squared, then that result is squared. The final number is 6561. The number is 3.

What is an Exponent?

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

Given

A number is squared. The result is squared, then that result is squared. The final number is 6561.

How to find the number?

Let x be the number.

An x number is squared. The result x² is squared, then that result (x²)² is squared. Then the result is [(x²)²]², which is equal to 6561.

On simplifying [(x²)²]², we have

[tex]\rm [(x^{2})^2]^2 = x^{2*2*2} = x ^8[/tex]

Then

[tex]\rm x^8 = 6561\\\\x =\sqrt[8]{6561} \\\\x = 3[/tex]

So, the number is 3.

More about the exponent link is given below.

https://brainly.com/question/5497425