Write an expression as a single power

Question

6³ times 6⁹

2 times 2⁴

10³ times 10⁷

5³ times 5³

12⁵ times 12¹²

7⁶ times 7⁶ times 7⁶

Answer 1

if the base is the same, just add the exponents

6^3 times 6^9 = 6^12 (3+9=12)

2^1 times 2^4 = 2^5 (1+4=5)

10^3 times 10^7 = 10^10 (3+7=10)

5^3 times 5^3 = 5^6 (3+3=6)

12^5 times 12^12 = 12^17 (5+12= 17)

7^6 times 7^6 times 7^6 = 7^18 (6+6+6=18)

it may be easier to see why this is true, if you look at a simple example 2^2 times 2^3 = 2^5

2^2 = 2x2 = 4

2^3 = 2x2x2 = 8

2^2 times 2^3 = 4x8 = 32

2^5 = 2x2x2x2x2 = 32