Instructions

What should come in place of the question mark (?) in the following questions ?

Question 132

$$7^{8.9} \div (343)^{1.7} \times (49)^{4.8} = 7^{?}$$

Solution

Expression : $$7^{8.9} \div (343)^{1.7} \times (49)^{4.8} = 7^{?}$$

=> $$(7)^{8.9} \times \frac{1}{(7)^{3 \times 1.7}} \times (7)^{2 \times 4.8} = (7)^x$$

=> $$(7)^{8.9 - 5.1 + 9.6} = (7)^x$$

=> $$x = 8.9 + 9.6 - 5.1 = 13.4$$


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