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).