√-8•√-32

a

–16

b

–256i

c

–16i

d

i^2√256

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√-8•√-32a–16b–256ic–16idi^2√256

√-8•√-32

a

–16

b

–256i

c

–16i

d

i^2√256

C

Step-by-step explanation:

The first term is when n=1, the fourth term is when n=4 and the eighth term is when n=8 for equation:

[tex]a_n=-2\cdot2^{n-1}[/tex]

n=1 substitute into the equation:

[tex]a_1=-2\cdot2^{1-1}=-2\cdot2^{0}=-2\cdot1=-2[/tex]

n=4 substitute into the equation:

[tex]a_1=-2\cdot2^{4-1}=-2\cdot2^{3}=-2\cdot8=-16[/tex]

n=8 substitute into the equation:

[tex]a_1=-2\cdot2^{8-1}=-2\cdot2^{7}=-2\cdot128=-256[/tex]

The answer is C

[tex]a_n=-2\cdot2^{n-1}\\\\n=1\to a_1=-2\cdot2^{1-1}=-2\cdot2^0=-2\cdot1=-2\\\\n=4\to a_4=-2\cdot2^{4-1}=-2\cdot2^3=-2\cdot8=-16\\\\n=8\to a_8=-2\cdot2^{8-1}=-2\cdot2^7=-2\cdot128=-256\\\\\ C. -2;\ -16;\ -256[/tex]

1.) 8a⁴b³ + 6a²b³ab² - 2a²b³ab

2.) A. 44

3.) B. +83 degrees

4.) D. $0.15

5.) x⁴ - 256

6.) D. -122

7.) -6r²s⁴t³

Step-by-step explanation:

1.) To simplify, we simply multiply/distribute and then combine like terms.

2.) To simplify, we use Order of Operations BPEMDAS to solve.

3.) To find, we simply subtract 68 and -15 to get +83 as our answer.

4.) To find, we simply multiply 3 by 24 to get 72, then divide by $410.80 to get $0.15 as our answer.

5.) To expand/simplify, simply use Difference of Squares to get C. as our answer.

6.) To find the value, simply plug in 7 for b to get -122 as our answer.

7.) To find the result, remember that when you divide exponents, you subtract the powers.