What is the simplified form of the following expression?
three-fifths cubed
(1 point)
Responses
twenty-seven-one hundred twenty-fifths
Image with alt text: twenty-seven-one hundred twenty-fifths
152
152
3,375
3,375
one hundred twenty-five-twenty-sevenths
show your work
The simplified form of "three-fifths cubed" is 27/125, which can also be written as twenty-seven-one hundred twenty-fifths.
To simplify the expression "three-fifths cubed," we need to raise three-fifths to the power of three. Here's how you can solve it step by step:
Step 1: Cube the numerator (top number):
3 cubed = 3 × 3 × 3 = 27
Step 2: Cube the denominator (bottom number):
5 cubed = 5 × 5 × 5 = 125
Step 3: Simplify the fraction:
The simplified form of the fraction is 27/125, where 27 is the numerator and 125 is the denominator.
So, the correct answer is "twenty-seven/one hundred twenty-fifths."
To simplify the expression "three-fifths cubed," you need to raise the fraction to the power of 3.
To do so, you multiply the numerator (3) by itself three times and also multiply the denominator (5) by itself three times.
The simplified form of "three-fifths cubed" is:
(3/5)^3 = (3^3) / (5^3) = 27/125
Therefore, the simplified form is twenty-seven-one hundred twenty-fifths.