Explain in details the correct solution:
Which expression is equivalent to 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4?
I know that the answer is 4^8 but how would I explain?
Four multiplied by itself eight times.
Thank you!
You are welcome.
To explain why the expression 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 is equivalent to 4^8, we need to understand the concept of exponentiation.
Exponentiation is a mathematical operation that involves multiplying a base number by itself a certain number of times. The base number is raised to the power of the exponent, which indicates how many times the base number is multiplied.
In this case, the base number is 4, and it is being multiplied 8 times. When multiplying the same number repeatedly, it is common to use a shorthand notation called exponentiation.
To calculate 4^8, you multiply the base number, which is 4, by itself 8 times. The calculation would be as follows:
4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 = 65,536
Therefore, the expression 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 is equivalent to 4^8, which equals 65,536.