Which of the following is the value of ((0.064)^1/3)^2[

Question

Which of the following is the value of  (\sqrt {0.064})^2 ? 
 
A) 0.0016 
B) 0.0064 
C) 0.04 
D) 0.09 
E) 0.16

BrentGMATPrepNow · Answer

Useful property:  \sqrt {\frac{a}{b}}=\frac{\sqrt {a}}{\sqrt {b}}

So, we get:  (\sqrt {0.064})^2=(\sqrt {\frac{64}{1000}})^2=(\frac{\sqrt {64}}{\sqrt {1000}})^2 = (\frac{4}{10})^2 = \frac{16}{100}=0.16

Answer: E

masakiyada · Answer

One of the least error-prone ways could also be:

=(0.064)^(2/3)
=(64*0.001)^2/3
={2^6*(0.1)^3}^2/3
=2^4*0.1^2
=16*0.01
=0.16

A_Nishith · Answer

=(0.064)^(2/3)
=(64*0.001)^2/3
={2^6*(0.1)^3}^2/3
=2^4*0.1^2
=16*0.01
=0.16

Answer: E

ablatt4 · Answer

turn into decimal first.

(3 root 64/1000 )^2 =

(4/10)^2 =

16/100

EthanTheTutor · Answer

(\sqrt {0.064})^2

= (\sqrt {2^6	imes10^{-3}})^2 = (2^6	imes10^{-3})^{\frac{2}{3}} = 2^{(6	imes\frac{2}{3})}	imes10^{(-3	imes\frac{2}{3})} = 2^{(2	imes2)}	imes10^{-2}

= 0.16

CareerLauncherMBA · Answer

Lets solve this question:

Step 1: Cube root of 0.064

0.064 = \(\frac{64}{1000}\) = \(\frac{4^3}{10^3}\)

So,

\(\sqrt[3]{0.064} = \frac{4}{10} = 0.4\)

Step 2: Square the result

\((0.4)^2=0.16\)

E is correct

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sm1510

Which of the following is the value of \((\sqrt[3]{0.064})^2\)?

A) 0.0016
B) 0.0064
C) 0.04
D) 0.09
E) 0.16

Which of the following is the value of ((0.064)^1/3)^2[

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Which of the following is the value of ((0.064)^1/3)^2[

Prep Toolkit

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