Question

20 POINTS! Please look at the attached image!

Answer 1

Answer:

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

Answer 2

Answer:

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