Which expression is equivalent?

Hey there!

5^10 • 5^5

5^10 ⬇️

= 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5 • 5

= 25 • 25 • 25 • 25 • 25

= 625 • 625 • 25

= 390,625 • 25

= 9,765,625

5^5 ⬇️

= 5 • 5 • 5 • 5 • 5

= 25 • 25 • 5

= 625 • 5

= 3,125

9,765,625 • 3,125 = 30,517,578,125

Finding what is equivalent to: 30,517,578,125

Option A: 5^2 = 5 • 5 = 25 (CAN’T be the answer because it is TOO SMALL)

Option B: 5^5 = 5 • 5 • 5 • 5 • 5 = 3,125 (CAN’T be the answer because it is TOO SMALL)

Option C: 5^15 = 30,517,578,125 (CAN be the answer because it is equivalent to the given equation)

Option D: 5^50 (CAN’T be the answer because it is TOO BIG)

Option C. 5^15 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

it would be:

c.parallelogram.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950