Question

1. write 9 . 9 . 9 . 9 . 9 . 9 . 9 using an exponent. a. 99^7 b. 7^9 12. find the perimeter of the figure below. 15 ft 10 ft drawing not to scale a. 25 ft b. 60 ft 13. find the area of the figure below.

Explanation:

Step1: Recall exponent definition

The expression \(a\cdot a\cdot a\cdots a\) (n - times) can be written as \(a^n\). Here \(a = 9\) and \(n=7\), so \(9\cdot9\cdot9\cdot9\cdot9\cdot9\cdot9=9^7\). None of the given options a. \(99^7\) and b. \(7^9\) are correct for this expression.

Step2: Recall perimeter formula for rectangle

The perimeter \(P\) of a rectangle is given by \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Given \(l = 15\) ft and \(w = 10\) ft. Then \(P=2(15 + 10)\).

Step3: Calculate perimeter

First, add the values inside the parentheses: \(15+10 = 25\). Then multiply by 2: \(2\times25=50\) ft. None of the given options a. \(25\) ft and b. \(60\) ft are correct.

Answer:

1. None of the above (correct answer is \(9^7\))
2. None of the above (correct answer is \(50\) ft)