Question

Question 12

Simplify open parentheses x to the 2 third power close parentheses to the 4 fifths power

x to the 2 fifths power

x to the 2 fifteenths power

x to the 8 fifteenths power

x to the 22 fifteenths power

Question 13

Simplify i31

1

−1

−i

i

Question 14

Identify the degree of the polynomial x2y + 5xy3 - 7y2 + 2.

3

4

5

Answer 1

Is that \[(x^{2/3})^{4/5}\]?

\[(x^a)^b = x^{a*b}\]

Answer 2

\[i^1 = i\]\[i^2 = -1\]\[i^3 = i^2*i = -1*i = -i\]\[i^4 = i^2*i^2 = -1*-1 = 1\]

Answer 3

yes

Answer 4

so whats #12?

Answer 5

I gave you the rule to figure it out.

Answer 6

@math&ing001 i need help. you explain better...

Answer 7

For #14, the degree of the polynomial is the highest degree of any of the terms. The degree of a term is the sum of the powers. Degree of \(x^5y^3 = 5+3=8\)

Answer 8

Compare

\[(x^{2/3})^{4/5}\]with
\[(x^a)^b = x^{a*b}\]
Match up the pieces. Follow the directions.

Answer 9

Consider a=2/3 and b=4/5.

Answer 10

would it be x^8/15?

Answer 11

yeah !

Answer 12

so whats i^31?

Answer 13

@math&ing001

Answer 14

i^31=i^30 * i
i^30=(i^2)^15 and you know that i^2=-1

Answer 15

right....

Answer 16

-1^15 ?

Answer 17

(-1)^15 = -1

Answer 18

#14?

Answer 19

Find the term with the highest power. That's your degree

Answer 20

@math&ing001 not necessarily true. The degree of a term is the sum of the exponents of all the variables in the term. Degree of \(a^3b^2=5\), so degree of \[c^4+a^3b^2\]is 5, not 4 as your procedure would indicate.