Question

Express 216*96 as a product of prime factors in exponential form

Answer 1

We have ,

2 | 216

_______

2 | 108

_______

2 | 54

_______

3 | 27

_______

3 | 9

_______

**** 3

and

2 | 96

_______

2 | 48

_______

2 | 24

_______

2 | 12

_______

2 | 6

_______

*****3

Now ,

216 ×96 = 2³ × 3³ × 2^5 × 3

$216 \times 96 = 2^{3} \times 3^{3} \times 2^{5} \times 3^{1} \\= 2^{3+5} \times 3^{3+1} \\= 2^{8} \times 3^{4}$

Therefore.,

$\red {216 \times 96} \green {= 2^{8} \times 3^{4} }$

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