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:)

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b