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Question Number 50011 by ggny last updated on 13/Dec/18

Answered by tanmay.chaudhury50@gmail.com last updated on 13/Dec/18

$$1)\frac{{\left(13\right)}^4\times {\left(3\times 2\right)}^3\times 2^4\times {\left(\frac{1}{2}\right)}^6}{3^3\times {13}^3}$$$$=\frac{{13}^4}{{13}^3}\times \frac{3^3}{3^3}\times \frac{2^3\times 2^4}{2^6}$$$$=13\times 2=26$$

Answered by tanmay.chaudhury50@gmail.com last updated on 13/Dec/18

$$2)\frac{{11}^6}{{11}^6}\times \frac{{\left(2^2\times 3\right)}^2\times 3^3}{{\left(3\times 2\right)}^2\times \left(3^2\right)\times {\left(\frac{1}{2}\right)}^2}$$$$=\frac{2^4}{2^2}\times 2^2\times \frac{3^{2+3}}{3^{2+2}}$$$$=16\times 3=48$$

Answered by tanmay.chaudhury50@gmail.com last updated on 13/Dec/18

$$3)\frac{{17}^4}{{17}^4}\times \frac{3^6}{3^4}\times \frac{1}{{\left(\frac{1}{2}\right)}^5}\times \frac{1}{2^3}$$$$=3^2\times \frac{2^5}{2^3}$$$$=3^2\times 2^{5-3}$$$$=3^2\times 2^2$$$$=9\times 4=36$$

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