If(\sqrt8)^8 \div (\sqrt8)^8=8^x ,then x = ?

SSC CPO SI and ASI Model Paper 1

Question : 137 of 200

Marks: +1, -0

$If(√8)^8 ÷ (√8)^8=8^x ,$ then $x = ?$

Solution:

(√8) ^8÷(√8)^5=8^x

⇒(8)^{8/2 }/(8)^{5/2}=8^x

⇒( 8) ^{3/2 }= 8^x

∴ x = 3/2

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