157k views
2 votes
Simplify to get the answer as a simple rational number:(−4/3) ³×(8/9)³ .

User Joel Filho
by
8.2k points

1 Answer

3 votes

Final answer:

To simplify (-4/3)^3 * (8/9)^3, we can simplify each exponent individually and then multiply the fractions.

Step-by-step explanation:

To simplify the expression (-4/3)^3 * (8/9)^3, we can apply the properties of exponents.

First, let's simplify each exponent individually:

(-4/3)^3 = (-4/3) * (-4/3) * (-4/3) = -64/27

(8/9)^3 = (8/9) * (8/9) * (8/9) = 512/729

Now, we can multiply the two simplified fractions:

(-64/27) * (512/729) = -32768/19683

Therefore, the simplified answer to the expression (-4/3)^3 * (8/9)^3 is -32768/19683.

User Trevor Allred
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories