5(2^12)/4^5

Question

\frac{5(2^{12})}{4^5}

A. 5

B. 10

C. 15

D. 20

E. 25

v12345 · Answer

\frac{5(2^{12})}{4^5}

=  \frac{5(4^{6})}{4^5}

=  5*4

= 20

Hence, OA is (D).

avichalchopra · Answer

5(2^12)/4^5
Now, note that we can rewrite 4^5 as (2²)^5 which is equal to 2^10

The question now becomes 5(2^12)/2^10

This will then become 5(2^2) 
Which is equal to 5(4)=20

Thus, the answer is option D i.e 20

Hope this helped!

Posted from my mobile device

BrushMyQuant · Answer

This question is about  Simplifying Exponents 
We have a power of two in numerator and a power of 4 in denominator which we need to cancel out to simply this exponent.
Let's simplify the denominator first to bring it in terms of power of 2

4^5  =  (2^2)^5  =  2^{2*5}  =  2^{10}

=>  \frac{5(2^{12})}{4^5}  =  \frac{5(2^{12})}{2^{10}} 
Now, using the property  "If two exponents with the same base are divided then their power gets subtracted" 
 i.e.  \frac{x^a }{ x^b}  =  x^{(a-b)}  
We can simplify by cancelling power of 2 now
 \frac{5(2^{12})}{2^{10}}  =  5 * 2^{(12-10)} 
=  5 * 2^2  = 5*4 = 20

So, answer will be D
Hope it helps!

5(2^12)/4^5

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5(2^12)/4^5

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