Answer:
Option A is correct.
Value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.
Step-by-step explanation:
To find the value of: 16 to the power of 1 over 4.
\(16^{\frac{1}{4}}\)
we can write 16 as:
\(16 = 2 \cdot 2 \cdot 2 \cdot 2 = 2^4\)
⇒\((2^4)^{\frac{1}{4}}\)
⇒\((2)^{4 \cdot \frac{1}{4}}\) [∴\((a^n)^m = a^{nm}\)]
⇒2
Hence, the value of \(16^{\frac{1}{4}}\) is, 2.
Therefore, the value of 16 to the power of 1 over 4 equals to the power of 4 to the power of 1 over 4 equals 2 to the power of 4 multiplies by 1 over 4 equal 2.
