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<…

Question

asked May 15, 2020 128k views

1 Answer

Rithiur · Answer 1 · 2020-05-19T22:33:20+0000

Answer:

By property of power of a power:

$(3^{(1)/(4)} )^(2)$ =
$3^{((1)/(2))}$

Explanation:

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

The property of power of a power is given by,

=
(a^(b) )^(2)

=
(a^(b) )* (a^(b) )

=
(a^((b+b)) )

Using the property of power of a power:

=
$(3^{(1)/(4)} )^(2)$

=
$(3^{(1)/(4)} )* (3^{(1)/(4)} )$

=
$3^{((1)/(4)+(1)/(4))}$

=
$3^{((1)/(2))}$