1.

Simplify: (2 * 3 ^ 4 * 2 ^ 3)/(3 ^ 2 * (2 ^ 2) ^ 2)​

Answer»

Answer is 9

Step-by-step EXPLANATION:

Solve step by step \frac{2 \times {3}^{4}\times {2}^{3} }{ {3}^{2} \times { ({2}^{2}) }^{2} }

= \frac{2 \times {3}^{4}\times {2}^{3} }{ {3}^{2} \times {2}^{4} }

Now we KNOW that when there are same bases, BREAK the FRACTION in such a way that the fraction WOULD have same bases:

=2 \times \frac{ {3}^{4} }{ {3}^{2} } \times \frac{ {2}^{3} }{ {2}^{4} }

Now when we have same bases as numerator and denominator in fraction, subtract the smaller exponential number from higher one :

= 2 \times {3}^{(4 - 2)} \times {2}^{(3 - 4)}

= {2}^{1} \times {3}^{2} \times {2}^{ - 1}

= 2 \times 3 \times 3 \times \frac{1}{2}

= 3 \times 3

= 9

Please mark me Brainliest if this helped u, have a nice day..



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