Question

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

Answer 1

Answer:

6

Step-by-step explanation:

• The expression $6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}$ 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", $a^n\times{a^m}\times{a^j}$, the result of the multiplications is $a^{m+n+j}$.

• Then,in this particular case $6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}$  equals $6^{\frac{1}{4} +\frac{1}{4} +\frac{1}{4} +\frac{1}{4} }=6^1=6$