2017

Mathematics

POST UTME

A binary operation is defined by ab = $a^b$ if a2 = 2*2 find the possible values of a

A. +-2

B. +-3

C. +-4

D. +-5

Correct Answer: +-2

Explanation

$ab = a^b$
$a2 =22$
$a2 = a^2 = 2^2$
$a^2 = 4, a =+-√4$
=+-2

$a*b = a^b$

$a*2 =2*2$

$a*2 = a^2 = 2^2$

$a^2 = 4, a =+-√4$

=+-2

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2017

Mathematics

POST UTME

A binary operation is defined by a*b = ﻿aba^bab﻿ if a*2 = 2*2 find the possible values of a

A.

+-2

B.

+-3

C.

+-4

D.

+-5

Correct Answer: +-2

Explanation

﻿a∗b=aba*b = a^ba∗b=ab﻿ ﻿a∗2=2∗2a*2 =2*2a∗2=2∗2﻿ ﻿a∗2=a2=22a*2 = a^2 = 2^2a∗2=a2=22﻿ ﻿a2=4,a=+−√4a^2 = 4, a =+-√4a2=4,a=+−√4﻿ =+-2

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A binary operation is defined by ab = $a^b$ if a2 = 2*2 find the possible values of a

$ab = a^b$
$a2 =22$
$a2 = a^2 = 2^2$
$a^2 = 4, a =+-√4$
=+-2