# Chapter 10 - Exponents and Radicals - 10.6 Solving Radical Equations - 10.6 Exercise Set: 19

$t=91$

#### Work Step by Step

Raising both sides to the $\text{ 4th }$ power, the solution to the given equation, $\sqrt[4]{t-10}=3$, is \begin{array}{l} t-10=81 \\\\ t=81+10 \\\\ t=91 .\end{array} Upon checking, $t=91$ satisfies the given equation.

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