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

math 1108

Yale University

MATH

### Question Description

Need help with my Mathematics question - Iβ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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Simplify the expression using properties of exponents. Expand any numerical portion of
1. 50 β 52 = 1 β 5 β 5 = ππ
2. (β4)6 = (β4) β (β4) β (β4) β (β4) β (β4) β (β4) = ππππ

4ππ2

3. (

π2

2

) =

42 π2 π2β2
π2β2

=

16π2 π4
π4

= ππππ

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
ππ β ππ + π

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

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