When you evaluate (1/8)^-1/3 answer will be

Answer 1

To evaluate the expression (1/8)^(-1/3), you can use the property of a negative exponent, which states that (a^(-b)) equals 1 divided by (a^b).

Applying this property to the expression, we have:

(1/8)^(-1/3) = 1 / (1/8)^(1/3)

Now, let's simplify further by applying the exponent rule for the power of a power. The rule states that (a^b)^c is equal to a^(b*c).

(1/8)^(1/3) = (1^1/8^1)^(1/3) = 1^(1/3)/8^(1/3)

Since any number raised to the power of 1 is the number itself, we have:

1^(1/3)/8^(1/3) = 1/8^(1/3)

Now, we can express 8^(1/3) as the cube root of 8. The cube root of 8 is 2, as 2 * 2 * 2 = 8.

Therefore, 1/8^(1/3) = 1/2

So, the answer to the expression (1/8)^(-1/3) is 1/2.

Answer 2

sorry.
(1/8)^(1/3) is 1/2
(1/8)^(-1/3) is 2

Answer 3

Apologies for the confusion in the previous response. You are correct.

To evaluate (1/8)^(-1/3), we can apply the rule that states when a negative exponent is raised to another exponent, the reciprocal of the base is taken and the absolute value of the exponent is used.

So, (1/8)^(-1/3) is the same as the reciprocal of (1/8)^(1/3).

Since (1/8)^(1/3) equals 1/2, the reciprocal of 1/2 is 2.

Therefore, the answer to (1/8)^(-1/3) is 2.