? = ?(13)4 = ?13 x 13 x 13 x 13
Apply the rule of square root.
= 13 x 13 = 169
163/2 + 16-3/2
Apply the law of Fractional Exponents and Laws of Exponents
am x an = am+n
a-m = 1/am
?163/2 + 1/163/2
?(161/2)3 + 1/(161/2)3
?(42 x 1/2)3 + 1/(42 x 1/2)3
?43 + 1/43
? 64 + 1/64
? (64 x 64+ 1)/64
= (4096+1)/64
= 4097/64
? = [(12)-2]2/[(12)2]-2
Apply the Algebra Law,
(am)n = amn
= (12) - 4/(12) - 4
= 1
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