Question

Express 108 × 270 as a product of prime factors in exponential form.​

Answer 1

Answer:

108×270

2 × 2 × 3 × 3 × 3×2 x 3 x 3 x 3 x 5

Answer 2

SOLUTION

TO DETERMINE

Express 108 × 270 as a product of prime factors in exponential form.

EVALUATION

Here the given number = 108 × 270

Now

$\sf{108}$

$\sf{ = 2 \times 2 \times 3 \times 3 \times 3}$

$\sf{ = {2}^{2} \times {3}^{3} }$

Again

$\sf{270}$

$\sf{ = 2 \times 3 \times 3 \times 3 \times 5}$

$\sf{ = 2 \times {3}^{ 3} \times 5}$

Hence the required exponential form

= 108 × 270

$\sf{ = {2}^{2} \times {3}^{3} \times 2 \times {3}^{3} \times 5}$

$\sf{ = {2}^{3} \times {3}^{6} \times 5}$

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