Rewrite 2x2x2x2 as a exponent
The Correct Answer and Explanation is :
To rewrite (2 \times 2 \times 2 \times 2) using exponents, you can express it as (2^4).
Explanation
Exponents, also known as powers, are a shorthand notation to represent repeated multiplication of the same number. In the expression (2 \times 2 \times 2 \times 2), the base number is (2) and it is being multiplied by itself a total of four times. This type of operation can be efficiently represented using exponents.
- Understanding the Base and the Exponent:
- The base is the number being multiplied, which in this case is (2).
- The exponent indicates how many times the base is multiplied by itself. Here, since (2) is multiplied four times, the exponent is (4).
- Writing the Expression:
- Instead of writing out (2) four times, we can write it as (2^4). This is a more compact and mathematically convenient way to express the same operation.
- Calculating the Value:
- To find the value of (2^4), you perform the multiplication: [ 2^4 = 2 \times 2 \times 2 \times 2 ]
- First, calculate (2 \times 2 = 4).
- Then, multiply that result by (2) again: (4 \times 2 = 8).
- Finally, multiply (8) by (2): (8 \times 2 = 16).
- Final Result:
- Thus, (2^4 = 16).
Using exponents not only simplifies the notation but also makes it easier to work with larger numbers and complex equations. Exponents are widely used in various fields, including science, engineering, and finance, making them a fundamental concept in mathematics. This concise representation allows for quicker calculations and clearer communication of mathematical ideas.