Question

Simplify. Your answer should only contain exponents. Please explain how to do this.

Answer 1

`1. \: \frac{8v {}^(5) }{u}`

`2. \: 32 {}^(6) y {}^(8)`

Explanation:

`2vu {}^( - 4) .4u {}^(3) v {}^(4) = 8.(v {}^(1) * v {}^(4) ).(u {}^( - 4) * u {}^(3) ) = 8.v {}^(5) .u {}^( - 1) = 8.v {}^(5) . (1)/(u) = \frac{8v {}^(5) }{u}`

`4x {}^(3) y {}^(2) .2y {}^(4) .4x {}^(3) = (4 * 2 * 4).(x {}^(3) * x {}^(3) ).(y {}^(2) * y {}^(4) ) = 32.x {}^(3 + 3).y {}^(2 + 6) = 32x {}^(6) y {}^(8)`