how simplify expression

Question

(4t) ^-2 t^0

__________

  t^6 v^-8

 

 

please simplify this expression and show steps

Answer 1

Hi L;

[(4t)^-2 t^0]/(t⁶ v^-8)

First, let's note the fact that t of the numerator, is to the power of zero.  Anything to the power of zero is one.

[(4t)^-2(1)]/(t⁶v^-8)

[(4t)^-2]/(t⁶v^-8)

Second, let's note the fact that v of the denominator, is to the power of -8.  This is the equivalent of v in the numerator to the power of 8.

[(4t)^-2(v⁸)]/t⁶

Third, let's note the fact that (4t)^-2 of the numerator is the same as (4t)² in the denominator.

v⁸/[(t⁶)(4t)²

v⁸/[(t⁶)(16t²)]

v⁸/16t⁸