Question 108

$$(256)^{0.16}\times(256)^{0.09}$$ is

Solution

Using the property, $$x^{a} * x^{b} = x^{a+b}$$

=> $$(256)^{0.16}\times(256)^{0.09}$$ = $$(256)^{0.16+0.09}$$

= $$256^{0.25} = (4)^{4 * \frac{1}{4}}$$

= $$4^{1} = 4$$


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