How would you write 5x5x5x5x5x5 in an exponent form
The Correct Answer and Explanation is:
To write the expression ( 5 \times 5 \times 5 \times 5 \times 5 \times 5 ) in exponent form, you need to express the repeated multiplication of the same base as a power.
In this case, the base is 5, and it is multiplied by itself 6 times. To represent this as an exponent, you would write:
[
5^6
]
Explanation:
The process of converting repeated multiplication into exponent form involves understanding the concept of exponents. An exponent is a shorthand notation that tells us how many times the base number is used as a factor in a multiplication problem.
For example, the expression ( 5 \times 5 \times 5 \times 5 \times 5 \times 5 ) involves multiplying the number 5 by itself six times. This repeated multiplication can be simplified by using an exponent. The exponent, in this case, is 6, which indicates the number of times the base (5) is repeated in the multiplication.
Thus, instead of writing out ( 5 \times 5 \times 5 \times 5 \times 5 \times 5 ), we use the exponent notation ( 5^6 ), where:
- 5 is the base (the number being multiplied),
- 6 is the exponent (indicating how many times the base is multiplied by itself).
Exponent notation helps simplify expressions, particularly when dealing with large numbers of repeated multiplication. In this example, ( 5^6 ) represents the same value as ( 5 \times 5 \times 5 \times 5 \times 5 \times 5 ), but in a much more concise form.
In summary:
- The expression ( 5 \times 5 \times 5 \times 5 \times 5 \times 5 ) in exponent form is ( 5^6 ).
- The exponent 6 shows how many times the base 5 is used in the multiplication.