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Value of ? in expression 78.9 ÷ (343)1.7 x (49)4.8 = 7? is

Correct Answer: 13.4

Explanation:

78.9 ÷ (343)1.7 x (49)4.8 = 7?
Apply the law of Fractional Exponents and Laws of Exponents
(am)(an) = am+n
am÷an=am?n
am/an=am?n
(am)n = amn
78.9 ÷ (343)1.7 x (49)4.8 = 7?
⇒ 78.9 ÷ (73)1.7 x (72)4.8 = 7?
⇒ 78.9 ÷ 75.1 x 79.6 = 7?
⇒ 78.9 - 5.1 + 9.6 = 7?
⇒ 718.5 - 5.1 = 7?
∴ ? = 13.4


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