Q

# Simplify and express each of the following in exponential form(ii)\: (5^2)^3 times 5^4 div 5^7

Q.2.    Simplify and express each of the following in exponential form:

$(ii)\: ((5^{2})^{3}\times 5^{4})\div 5^{7}$

Views

$(ii)\: ((5^{2})^{3}\times 5^{4})\div 5^{7}$

can be simplified as

$=[5^{(2\times 3)}\times 5^4]\div 5^7$

$=[5^{6}\times 5^4]\div 5^7$

$=[5^{(6+4)}]\div 5^7$

$=[5^{10}]\div 5^7$

$=5^{10-7}$

$=5^3$

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