si8erbyruljassyke
si8erbyruljassyke si8erbyruljassyke
  • 10-06-2016
  • Mathematics
contestada

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

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vince876
vince876 vince876
  • 10-06-2016
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].
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