Question

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

Answer 1

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.