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Question 37

Simplification: $$25^{(2.7)}\times 5^{(4.2)} \div 5^{(5.4)} = ?$$

Solution

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$$25^{(2.7)}\times 5^{(4.2)} \div 5^{(5.4)} = ?$$

$$25^{2.7}=\left(5\right)^{2\times2.7}=5^{5.4}$$

So, $$5^{(5.4)}\times5^{(4.2)}\div5^{(5.4)}=5^{\left(4.2\right)}$$

As $$5^{(5.4)}$$ will get cancelled.

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