If \sqrt4^3\times(4)^{3/2}\div4^{-3}=2^x , x the value of x will be:

Surds and Indices Practice Test 1

Question : 34 of 40

Marks: +1, -0

√4^3×(4)^{3/2}÷4^{-3}=2^x

, x the value of x will be:

Solution:

√4^3×(4)^{3/2}÷4^{-3}=2^x

⇒ {4^{3/2}×(4)^{3/2}}/4^{-3}=2^x

⇒4^3×4^3=2^x

⇒2^12=2^x

⇒x=12

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