Question

Apply the Laws of Exponents to write an equivalent expression for the given expression.

(-9-4)7
(-9-4)² =
(Simplify your answer. Type your answer using exponential notation.)

Answer 1

169

Explanation:

To apply the Laws of Exponents and write an equivalent expression for (-9-4)², we need to simplify the expression step by step.

First, let's simplify the expression (-9-4)²:

(-9-4)² = (-13)²

Next, we apply the exponent rule for a negative base. According to the rule, when a negative number is raised to an even exponent, the result is positive. So, we have:

(-13)² = 13²

Now, we can simplify 13² using the exponent rule for multiplication:

13² = 13 * 13 = 169

Therefore, the equivalent expression for (-9-4)² is 169.