Mathematics
MATH 1108 Yale University Properties of Exponents & Polynomials Exam Practice

math 1108

Yale University

MATH

Question Description

Need help with my Mathematics question - I’m studying for my class.

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

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

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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 βˆ— 52 = 1 βˆ— 5 βˆ— 5 = πŸπŸ“
2. (βˆ’4)6 = (βˆ’4) βˆ— (βˆ’4) βˆ— (βˆ’4) βˆ— (βˆ’4) βˆ— (βˆ’4) βˆ— (βˆ’4) = πŸ’πŸŽπŸ—πŸ”

4π‘šπ‘›2

3. (

𝑛2

2

) =

42 π‘š2 𝑛2βˆ—2
𝑛2βˆ—2

=

16π‘š2 𝑛4
𝑛4

= πŸπŸ”π’ŽπŸ

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 βˆ’ 8π‘₯ + 4)
5π‘₯ + 3 + π‘₯ 2 βˆ’ 8π‘₯ + 4
π’™πŸ βˆ’ πŸ‘π’™ + πŸ•

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

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