Question

Answer 1

`#3107.101107`

a)

`7*7*7 = 7^3`

b)

`7*35*7*25`

`= 7^2 *35 * 5^2`

`= (7*5)^2 * 35`

`= 35^2 * 35`

`= 35^3`

c)

`2*3*8*12*24`

`= 2 * 3 * 2^3 * 2^2 * 3 * 2^3 * 3`

`= 2^(1+3+2+3) * 3^(1+1+1)`

`= 2^9 * 3^3`

d)

`12*12*2*12*6`

`= 12^3 * 2 * 2 * 3`

`= 2^6 * 3^3 * 2^2 * 3`

`= 2^8 * 3^4`

`= 4^4 * 3^4`

`= 12^4`

e)

`25*5*4*2*10`

`= 5^2 * 5 * 2^2 * 2 * 2 * 5`

`= 5^4 * 2^4`

`= 10^4`

f)

`2*10*10*3*5*10`

`= 10^3 * 10 * 3`

`= 10^4 * 3`

g)

`a*a*a + b*b*b*b = a^3 * b^4`

h)

`x*x*y*y*x*y*x`

`= x^4 * y^3`