Question

Simplify the variable expression. $$(-4)^{2}(t)(t)$$

   Simplify the variable expression.
$$(-4)^{2}(t)(t)$$

Algebra 1

Ron Larson, Laurie… 1st Edition

Chapter 3, Problem 57

Instant Answer

Solved by Expert Lauren Shelton

09/04/2020

Step 1

This is the same as $-4$ times $-4$. Since a negative times a negative is a positive, this equals $16$. Show more…

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Simplify the variable expression. $$(-4)^{2}(t)(t)$$

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Key Concepts

Exponentiation

Exponentiation is a process in algebra where a number (or expression) is raised to a power, meaning it is multiplied by itself a specified number of times. This concept is crucial for understanding how to handle powers, especially when dealing with negative bases and the effect of parentheses on the computation.

Multiplication of Variables

The multiplication of variables in algebra involves combining similar variable factors by adding their exponents. This rule allows you to simplify products like t multiplied by t by recognizing that the operation results in the variable raised to a sum of the exponents.

Combining Numerical and Variable Parts

Simplifying algebraic expressions often requires combining numerical coefficients with the variables. This involves first evaluating the numerical part of the expression and then applying the appropriate exponent rules to the variable part to achieve a more concise form.

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