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what fraction of the squareroot of 64 is 2 to the second power

 Apr 28, 2016

Best Answer 

 #1
avatar+124 
+5

A square root is the same as a fractional exponent. 2 to the second power is 4, so what root or fractional exponent would you need to bring 64 down to four. The cube root of 64 is 4, so the fractional exponent must be 1/3, so your answer is 1/3 since 43=64. To put this into a better perspective, 42=16, and 161/2=4.

 Apr 28, 2016
 #1
avatar+124 
+5
Best Answer

A square root is the same as a fractional exponent. 2 to the second power is 4, so what root or fractional exponent would you need to bring 64 down to four. The cube root of 64 is 4, so the fractional exponent must be 1/3, so your answer is 1/3 since 43=64. To put this into a better perspective, 42=16, and 161/2=4.

Adonai Apr 28, 2016
 #2
avatar+36919 
+5

2 to the second power   is   2^2 = 4

Sqrt (64) = 8                                            the fraction of 4 to 8   is 4/8 = 1/2

 Apr 28, 2016
 #3
avatar+118616 
0

what fraction of the squareroot of 64 is 2 to the second power

 

 

 

\( a*\sqrt{64}=2^2\\ 8a=4\\ a=\frac{1}{2}\)

 Apr 28, 2016

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