Question

Evaluate : 2³/2⁵×3⁵/3³

Answer 1

Step-by-step explanation:

I think this is the correct answer

Answer 2

2.25

Step-by-step explanation:

Rules we should know about exponents,

when bases are same -

${x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \\ {x}^{ -m} = \frac{1}{ {x}^{m} }$

We will use 2nd and 3rd.

$\frac{ {2}^{3} }{ {2}^{5} } \times \frac{ {3}^{5} }{ {3}^{3} } \\ \\ = > {2}^{3 - 5} \times {3}^{5 - 3} ... \tiny{using \: 2nd} \\ \\ = > {2}^{ - 2} \times {3}^{2} \\ \\ = > \frac{1}{ {2}^{2} } \times 9.. \tiny{using \: 3rd} \\ \\ = > \frac{1}{4} \times 9 \\ \\ = > \frac{9}{4} \\ \\ = > 2 \frac{1 }{4} = 2.25$

So,

our answer is 2.25

hope it helps.