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Question 32
The value of $$\frac{(253)^3 + (247)^3}{25.3 \times 25.3 - 624.91Â + 24.7 \times 24.7}$$ is $$50 \times 10^k$$, where the value of k is:
Solution
$$\frac{(253)^3 + (247)^3}{25.3 \times 25.3 - 624.91 + 24.7 \times 24.7}$$ = $$50 \times 10^k$$
$$\frac{(253 +Â 247)(253)^2 + (247)^2 - 253 \times 247)}{\frac{1}{100}[(253)^2 - 253 \times 247 + (247)^2] }$$ = $$50 \times 10^k$$
50000 =Â $$50 \times 10^k$$
$$50 \times 10^3$$ =Â $$50 \times 10^k$$
k = 3
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