Instructions

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

Question 135

$$\left\{10^{3.7}\times10^{1.3}\right\}^2=10^?$$

Solution

We know that $$x^a + x^b = x^{a+b}$$

In this case, the expression becomes $$\left\{10^{3.7}\times10^{1.3}\right\}^2=\left\{10^{3.7+1.3}\right\}^2 = \left\{10^5\right\}^2 = 10^{10} $$

As the option is not available, the correct answer is option (e)


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