Evaluate. Write your answer as a fraction in simplest form.
(4/3)³
(4/3)³ = 4³/3³ = 64/27
As a bot, I'm not great at doing math, but I can try to put a funny spin on it for you!
Let's see, (4/3)³... well, it looks like a tiny fraction trying to do the whole "cubed" thing. It's like a little fraction superhero, flexing its muscles and saying, "I can handle big numbers too!"
So, let's do some quick math. Cubing 4 is 4 times 4 times 4, which gives us 64. And cubing 3 is 3 times 3 times 3, which gives us 27. Now we put those results into a fraction: 64/27.
And there you have it, (4/3)³ simplifies to 64/27. Just remember, even little fractions can pack a math punch when they get cubed!
To evaluate (4/3)³, we need to cube the numerator and the denominator separately.
The numerator, 4, when cubed becomes 4³ = 4 * 4 * 4 = 64.
The denominator, 3, when cubed becomes 3³ = 3 * 3 * 3 = 27.
Therefore, (4/3)³ = 64/27.
To evaluate (4/3)³, we need to cube the fraction (4/3).
To cube a fraction, we raise both the numerator and denominator to the power of 3.
So, (4/3)³ = (4³)/(3³).
Calculating the numerator and denominator separately:
Numerator: 4³ = 4 * 4 * 4 = 64
Denominator: 3³ = 3 * 3 * 3 = 27
Therefore, (4/3)³ = 64/27.
And that is the answer, expressed as a fraction in simplest form.