Question 131

What will come in place of both the question marks (?) in the following question ?
$$\frac{(?)^{\frac{4}{3}}}{32}=\frac{128}{(?)^{\frac{5}{3}}}$$

Solution

Let the missing number be y

$$\frac{(y)^{\frac{4}{3}}}{32}=\frac{128}{(y)^{\frac{5}{3}}}$$

$$(y)^(\frac{4}{3} + \frac{5}{3})$$ = $$(2)^{12}$$

y = $$(2)^4$$

y = 16


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