Evaluate. (3^(4))(3^(-2))

Macioccujx

Macioccujx

Answered question

2022-07-27

Evaluate.
( 3 4 ) ( 3 2 )

Answer & Explanation

Ali Harper

Ali Harper

Beginner2022-07-28Added 16 answers

( 3 4 ) ( 3 2 ) = 3 ( 4 2 ) .................................[As X a X b = X ( a + b ) ]
= 3 2
= 9
Answer: 9
scherezade29pc

scherezade29pc

Beginner2022-07-29Added 2 answers

Therefore, adding the exponents, we get: 4 + -2 = 2
Applying this information to the problem, we get: 3 2 = 9.
Another way you could have done this is by remembering 3 4 = [ 3 2 ] [ 3 2 ] = 9 × 9 = 81.
Now, negative exponents go in the denominator to give us:
3 4 3 2 = 81 9 = 9

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