Question

Simplify the expression (3 1/4)^2 to demonstrate the power of a power property. Show any intermittent steps that demonstrate how you arrived at the simplified answer. 30 points

Answer 1

Answer:

By property of power of a power:

$(3^{\frac{1}{4}} )^{2}$=$3^{(\frac{1}{2})}$

Step-by-step explanation:

Given that $(3^{\frac{1}{4}} )^{2}$

The property of power of a power is given by,

=$(a^{b} )^{2}$

=$(a^{b} )\times (a^{b} )$

=$(a^{(b+b)} )$

Using the property of power of a power:

=$(3^{\frac{1}{4}} )^{2}$

=$(3^{\frac{1}{4}} )\times (3^{\frac{1}{4}} )$

=$3^{(\frac{1}{4}+\frac{1}{4})}$

=$3^{(\frac{1}{2})}$