20 POINTS! Please look at the attached image!

I don't understand what "Quotient of Two Powers" means.

a) 5^4 / 5^2, 5^2

b) 7^3 /  7^3, 7^0=1

c) 8^7/8^4, 8^3

Step-by-step explanation:

A quotient of two powers is basically the powers before its simplified. So for a 5 x 5 x 5 x 5 is 5 being multiplied by itself 4 times divided by 5 x 5 which is 5 being multiplied by itself 2 times. So this leads us to the conclusion that 5^4/5^2 for the quotient of two powers. Then using the rules of powers when dividing powers you subtract so in this case 4-2 is 2. So the answer is 5^2 for single power. The other problems are basically the same as well, just different numbers.

b) (7 x 7 x 7)/ (7 x 7 x 7)= 7^3/7^3=7^0=1

c)(8 x 8 x 8 x 8 x 8 x 8 x 8)/(8 x 8 x 8 x 8)= 8^7/8^4= 8^3

a) 5⁴/5² = 5²

b) 7³/7³ = 7⁰

c) 8⁷/8⁴ = 8³

Step-by-step explanation:

Quotient is a fraction.

a) 5×5×5×5 = 5⁴

5×5 = 5²

5⁴/5² = 5^(4-2) = 5²

b) 7×7×7 = 7³

7³/7³ = 7⁰ = 1

c) 8×8×8×8×8×8×8 = 8⁷

8×8×8×8 = 8⁴

8⁷/8⁴ = 8^(7-4) = 8³

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

-6 is the correct option from the above given options