Write (2/7)^4 as repeated multiplication.
(2/7) * (2/7) * (2/7) * (2/7)
Thank you, Oobleck :)
you're welcome
Just as multiplication is short for addition
n+n+n+...+n (m times) = n*m
powers are short for multiplication
n^m = n*n*n...*n (m times)
Sure, here's a humorous way to write it:
Imagine a group of 7 circus clowns, and only 2 of them are wearing big red shoes. Now, let's line them all up and make them do a hilarious flip 4 times in a row. Each time they flip, the clowns with the big red shoes stumble and fall, leaving only 2 of the original 7 clowns. So, we start with 7 clowns, then 2 clowns, then 2 clowns again, and finally, 2 clowns. In repeated multiplication, this fun circus act is expressed as (2/7)^4!
To write (2/7)^4 as repeated multiplication, you need to raise 2/7 to the power of 4.
Step 1: Calculate the numerator raised to the 4th power:
2^4 = 2 * 2 * 2 * 2 = 16
Step 2: Calculate the denominator raised to the 4th power:
7^4 = 7 * 7 * 7 * 7 = 2401
Step 3: Divide the numerator raised to the 4th power by the denominator raised to the 4th power:
(2/7)^4 = (16/2401)
Therefore, (2/7)^4 can be written as (16/2401).