Question

Which is an equivalent expression for (3^2 • 5^4)^3?

3^2 • 5^12
3^5 • 5^7
3^6 • 5^12
15^18

Answer 1

Hey there!

(3^2 * 5^4)^3

= (3 * 3 * 5 * 5 * 5 * 5)^3

= (9 * 25 * 25)^3

= (9 * 625)^3

= (5,625)^3

= 5,625 * 5,625 * 5,625

= 31,640,625 * 5,625

= 177,978,515,625

= 3^6 * 5^12

Therefore, your answer should be:

Option C. 3^6 * 5^12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)