Find the simplified form of (t^4/10y^4) ^-4

The answer is [ (10,000*y^16) / t^16]. At first, you have to distribute the exponent - 4 to the numerator and denominator by virtue of the law of exponent, (a/b) ^n = [ (a^n) / (b^n) ]. After distribution, you get (t^-16) / [ (10^-4) * (y^-16) ]. To simplify the negative exponent, follow the law of exponent: a^-m = 1/a^m. Thus, you now have [ (10^4) * (y^16) ] / (t^16). Hence, the answer is [ (10,000*y^16) / t^16].