Mathematics

math 1108

Yale University

MATH

### Question Description

it is 15 questions and i need the steps with the solution

MATH 1108 - Unit 2 Exam (Ch 7)-2

## Final Answer

All set - I typed everything up with the work and all of the answer are bolded and in red for clarity.

Simplify the expression using properties of exponents. Expand any numerical portion of

your answer and include positive exponents.

1. 50 β 52 = 1 β 5 β 5 = ππ

2. (β4)6 = (β4) β (β4) β (β4) β (β4) β (β4) β (β4) = ππππ

4ππ2

3. (

π2

2

) =

42 π2 π2β2

π2β2

=

16π2 π4

π4

= ππππ

4. Consider the following polynomial: π₯ 5 + 5π₯ 4

Step 1: Since there are two separate terms that cannot be combined, this is a

binomial.

Step 2: The leading coefficient is the constant that is multiplied by the highest

powered element of the polynomial. In this case, the leading coefficient is the

constant in front of the π₯ 5 term, which is 1.

5. Perform the indicated operation by removing the parentheses and combining like

terms.

(5π₯ + 3) + (π₯ 2 β 8π₯ + 4)

5π₯ + 3 + π₯ 2 β 8π₯ + 4

ππ β ππ + π

6. Find the product of the binomials using the appropria...