Question
Here is the question : IF X = 10, WHAT IS (X^2 + X^2)^2?
Option
Here is the option for the question :
- 40
- 400
- 4,000
- 40,000
The Answer:
And, the answer for the the question is :
Explanation:
To begin, substitute the value 10 for every x in the equation, resulting in the formula (102 + 102)2. The next step is to find the solution to the equation that is contained within the parentheses. First, you will square each ten, which will leave you with (100 + 100) squared. The next step is to sum together those digits to get 200. After that, multiply 200 by itself to get the final figure of 40,000.
In mathematics, exponents are used to represent repeated multiplication of a number by itself. For example, x^2 represents x multiplied by itself twice, or x times x. Similarly, x^3 represents x multiplied by itself three times, or x times x times x.
In the equation given, we are asked to evaluate the expression (x^2 + x^2)^2 when x = 10. To do this, we first need to simplify the expression inside the parentheses. Since both terms inside the parentheses are the same, we can combine them by adding their coefficients, which gives us 2x^2.
Now we can rewrite the expression as (2x^2)^2. To evaluate this expression, we need to square the term inside the parentheses. Squaring a term means multiplying it by itself, so (2x^2)^2 is equal to (2x^2) multiplied by itself, or (2x^2) times (2x^2).
Multiplying these terms gives us (2x^2) x (2x^2) = 4x^4. Now we can substitute x = 10 into this expression to get 4(10^4), which is equal to 40,000. Therefore, the solution to the expression (x^2 + x^2)^2 when x = 10 is 40,000.
Exponents are used in many areas of mathematics and science, including algebra, calculus, and physics. They are also used in everyday life, such as in calculating compound interest on a loan or investment. Understanding the rules of exponents and how to manipulate them is an important skill in these fields, and is essential for success in many academic and professional careers.
the ability to evaluate expressions involving exponents is a fundamental skill in mathematics, and is an important part of developing problem-solving skills. By practicing problems like the one given, students can build their understanding of exponents and develop the skills they need to succeed in mathematics and beyond.