# Chapter 1 - Introduction to Algebraic Expressions - 1.8 Exponential Notation and Order of Operations - 1.8 Exercise Set: 78

$\dfrac{5}{4}$

#### Work Step by Step

Substituting $t$ with $-6$ in the given expression, $-30\div t(t+4)^2$, then, \begin{array}{l}\require{cancel} -30\div (-6)(-6+4)^2 \\\\= -30\div (-6)(-2)^2 \\\\= -30\div (-6)(4) \\\\= -30\div (-24) \\\\= \dfrac{\cancel{-6}\cdot5}{\cancel{-6}\cdot4} \\\\= \dfrac{5}{4} .\end{array}

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.