Question

What is the value of the expression below? (6¼) x (6¼) x (6¼) x (6¼)

Answer 1

6

Explanation:

• The expression
  `6^{(1)/(4)}* 6^{(1)/(4)}*6^{(1)/(4)}*6^{(1)/(4)}` can be simplified by applying power properties.
• Particulary, there is a property known as "power of a product property" that states that, when there is a product of a series of numbers that share the same base "a",
  `a^n*{a^m}*{a^j}`, the result of the multiplications is
  `a^(m+n+j)`.

• Then,in this particular case
  `6^{(1)/(4)}* 6^{(1)/(4)}*6^{(1)/(4)}*6^{(1)/(4)}` equals
  `6^{(1)/(4) +(1)/(4) +(1)/(4) +(1)/(4) }=6^1=6`