Sure, let's break it down:

1. First, remember that any number or term to the power of -1 is the reciprocal of that number or term. So, (8x^6)^(-1/3) is the same as 1/(8x^6)^(1/3).

2. Next, remember that a fractional exponent like 1/3 means taking the cube root. So, 1/(8x^6)^(1/3) is the same as 1/cube root of (8x^6).

3. The cube root of 8 is 2, and the cube root of x^6 is x^2 (because 6/3 = 2). So, 1/cube root of (8x^6) simplifies to 1/(2x^2).

So, (8x^6)^(-1/3) simplifies to 1/(2x^2).

Question

Sure, let's break it down:

1. First, remember that any number or term to the power of -1 is the reciprocal of that number or term. So, (8x^6)^(-1/3) is the same as 1/(8x^6)^(1/3).

2. Next, remember that a fractional exponent like 1/3 means taking the cube root. So, 1/(8x^6)^(1/3) is the same as 1/cube root of (8x^6).

3. The cube root of 8 is 2, and the cube root of x^6 is x^2 (because 6/3 = 2). So, 1/cube root of (8x^6) simplifies to 1/(2x^2).

So, (8x^6)^(-1/3) simplifies to 1/(2x^2).

Knowee AI · Accepted Answer

Sure, let's break it down:

1. First, remember that any number or term to the power of -1 is the reciprocal of that number or term. So, (8x^6)^(-1/3) is the same as 1/(8x^6)^(1/3).

2. Next, remember that a fractional exponent like 1/3 means taking the cube root. So, 1/(8x^6)^(1/3) is the same as 1/cube root of (8x^6).

3. The cube root of 8 is 2, and the cube root of x^6 is x^2 (because 6/3 = 2). So, 1/cube root of (8x^6) simplifies to 1/(2x^2).

So, (8x^6)^(-1/3) simplifies to 1/(2x^2).

(8x^6)^(-1/3)

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