Use laws of exponents to simplify.

(10^(11/14))^(2/9)

Would the answer be 10^(11/63) ?

Multiply and simplify by factoring.

10,000^(1/4) X 100,000^(1/4)

Answer has to be simplified, using radicals.

I'm having a little trouble with this one.

10000^(1/4) = 10

100000^(1/4) = (10000)^1/4)*(10)^(1/4)
= 10(10)^1/4)

so 10,000^(1/4) X 100,000^(1/4)
= (10)(10)(10^(1/4)
= 100(10)^(1/4)

To simplify the expression (10^(11/14))^(2/9) using the laws of exponents, we need to apply the rule that states (a^m)^n = a^(m*n).

Starting with (10^(11/14))^(2/9), we can multiply the exponents together.

The exponent for the base 10 is (11/14) * (2/9) = 22/126.

Simplifying 22/126 gives 11/63.

Therefore, the simplified expression is 10^(11/63).

So, your answer is correct; the simplified expression is indeed 10^(11/63).