# Mth 100 assignment 1 and 2

[shortposting]

Write each of the following in the form a^k ,for some number k

2^3×2^(-5)

3^5÷3^7

〖(〖10〗^2)〗^(-3)

〖2r〗^2×r^3×r^(-1)

Simplify each of the following.

8^(1/3)

(〖z×3.z〗^3 )^2

√18

√4  ×√9

√36  ÷√6

√5  ×√15×√27

Sketch the Graph of Each Line

Assignment 2

Find all possible values of the given variable.

(4y – 8)(3y + 7) = 0

(4w – 8)(w + 3) = 0

(p – 5)(p + 2) = 0

(k + 4)(3k – 12) = 0

(m + 11)(m – 9) = 0

(4k – 2)(3k + 6) = 0

(3h – 7)(5h + 4) = 0

(6m – 7)(2m + 12) = 0

(s + 1)(4s – 8) = 0

(2z + 7)(z + 1) = 0

Exercise 2(6pt). Rational Equations by Cross Multiplying

Solve for  in each of following equations.

x/9= 7/3

(x-5)/15= 4/5

(3x+1)/(x-1)= 5

(x-6)/3= (-2x-2)/15

6/(3x-1)= 3/4

5/x= 7/(x-4)

Exercise 3(4pt). Inverse functions

1. If , what is the value of the reciprocal of

2. If the reciprocal of  is ½, what is the value of ?

3. The difference between the reciprocal of  and the reciprocal of  is equal to the reciprocal of .
What is the value of ?

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4. If the reciprocal of  is , what is the value of ?