Question

Evaluate:2³/2⁵×3⁵/3³​

Answer 1

Given:

Evaluate:2³/2⁵×3⁵/3³

To Find:

2³/2⁵×3⁵/3³

Solution:

The formula that needs to be used is,

$\frac{ {x}^{m} }{ {x}^{n} } = {x}^{(m - n)}$

$\frac{ {2}^{3} }{ {2}^{5} } = {2}^{(3 - 5)}$

$= {2}^{ - 2} = \frac{1}{ {2}^{2} } = \frac{1}{4}$

$\frac{ {3}^{5} }{ {3}^{3} } = {3}^{(5 - 3)}$

$= {3}^{2} = 9$

(2³/2⁵) × (3⁵/3³ )= (1/4) × (9)

= 9/4 = 2.25

The value of 2³/2⁵×3⁵/3³ is 2.25.