Question 34

$$(33)^{7.8} \times (33)^{1.2} \div (33) = 33 \times (33)^?$$

Solution
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Expression : $$(33)^{7.8} \times (33)^{1.2} \div (33) = 33 \times (33)^?$$

=> $$(33)^{7.8 + 1.2 - 1} = (33)^{x + 1}$$

Comparing powers on both sides

=> $$x + 1 = 9 - 1$$

=> $$x = 8 - 1 = 7$$

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