Question

Please help!! 40 Points!!!!!

Answer 1

#A

• a^b+a^c=a^b+c

#B

• 12^5x×12^-7
• 12^5x-7

#C

• x⁴y^6k+2×x²y^-1
• x⁶y^6k+2-1
• x⁶y^6k+1

Answer 2

see explanation

Explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

B

`12^(5x)` ×
`12^(-7)` =
`12^(5x-7)`

C

`x^(4)`
`y^(6k+2)` × x²
`y^(-1)`

=
`x^(4)` × x² ×
`y^(6k+2)` ×
`y^(-1)`

=
`x^((4+2))` ×
`y^((6k+2-1))`

=
`x^(6)`
`y^(6k+1)`