Question

Can someone do them for me I dont really understand them thank you!

Answer 1

Explanation:

1) multiply the powers.
`(a^(m))^(n)= a^(mn)\\`

a)
`(3^(2))^(2) = 3^(2*2) = 3^(4)\\`

`b) (g^(6))^(3) = g^(6*3) = g^(18)\\\\\\c) (y^(-6))^(3) = g^(-6*3) = g^(-18)\\\\\\d) (4^(-2))^(-8) = 4^(-2*-8) = 4^(16)\\\\`

`7) (a^(3)b^(7)cd^(2))^(4) =(a^(3))^(4) * (b^(7))^(4)* c^(4) * (d^(2))^(4)\\\\=a^(12)b^(28)c^(4)d^(8)\\\\\\8) (8g^(3))^(2)=8^(2)*(g^(3))^(2) = 64g^(6)\\\\\\9) (4k)^(3)=4^(3)k^(3) = 64k^(3)\\\\\\10) (7m^(4)y^(3))^(2) = 7^(2)(m^(4))^(2)(y^(3))^(2) = 49m^(8)y^(6)\\\\\\11) (8^(5))^(-2)=8^(5*-2)=8^(-10)\\\\\\13) m^(0) = 1 \\\\\\14) x^(1)=x \\\\\\15) p^(-3) * p^(2) = p^(-3+2) = p^(-1)\\\\\\16) (c^(31))/(c^(28)) = c^(31-28) = c^(3) \\\\`