Question

PLEASE HELP simplify (6 1\4) ^4

Answer 1

`((390625)/(256 ) )`

Explanation:

The exponent decides how much times does the base needs to multiply itself. In the given expression, the exponent is 4. Thus, 6 1/4 needs to multiply itself 4 times.

• ⇒
  `(6 (1)/(4)) ^4`

Convert 6 1\4 into improper fraction

• ⇒
  `((25)/(4) ) ^4`

• ⇒
  `((25)/(4))((25)/(4))((25)/(4))((25)/(4))`

• ⇒
  `((25^(4))/(4^(4) ) )`

• ⇒
  `((390625)/(256 ) )`

Thus, the simplified fraction is
`((390625)/(256 ) )`.