Simplify: (8x^ y^27)^1/3

Did you omit a number after the first ^ ?

No, this is the way it is written out. I think that's what is confusing me...

To simplify the expression (8x^y^27)^(1/3), we can apply the exponent rule that states when we raise a power to another power, we should multiply the exponents.

In this case, we have a power raised to 1/3, which means we need to multiply the exponents in the expression by 1/3.

Recall that when we multiply same bases with exponents, we add the exponents. So, applying this rule:

(8x^y^27)^(1/3) becomes 8^(1/3) * x^(y^27/3)

The cube root of 8 is 2, and since we multiply the exponents by 1/3, it simplifies to:

2 * x^(y^9)

Therefore, the simplified form of (8x^y^27)^(1/3) is 2x^(y^9).