What value will come in place of the question mark (?) in the following questions.
What value will come in place of the question mark (?) in the following questions.
$$(562.5 \times 6)^{6}\div(135 \div 9)^{10}$$ $$\div(37.5 \times 6)^{7}=(3.75 \times 4)^{?-6}$$
1). 0
2). 2
3). 3
4). 4
1 answers
Expression : $(562.5 \times 6)^{6}\div(135 \div 9)^{10}$ $\div(37.5 \times 6)^{7}=(3.75 \times 4)^{?-6}$
=> $(3375)^6 \div (15)^{10} \div (225)^7 = (15)^{x - 6}$
=> $((15)^3)^6 \div (15)^{10} \div ((15)^2)^7 = (15)^{x - 6}$
=> $(15)^{18} \times \frac{1}{(15)^{10}} \times \frac{1}{(15)^{14}} = (15)^{x - 6}$
=> $(15)^{18 - 10 - 14} = (15)^{x - 6}$
=> $(15)^{-6} = (15)^{x - 6}$
Comparing both sides, we get :
=> $x - 6 = -6$
=> $x = 6 - 6 = 0$
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