Determine: (2b^4)^(-1)

musicintimeln

musicintimeln

Answered question

2022-08-05

Determine: ( 2 b 4 ) 1

Answer & Explanation

kilinumad

kilinumad

Beginner2022-08-06Added 21 answers

Step 1
The rule for raising a power to a power is that you multiply the exponents. Combining that with the Distributive Property yeilds the following:
( A B M ) N = A N B M N
In this case, A = 2 ,   B = b ,   M = 4 ,   N = 1
Also, the rule for negative expontents is that they go in the denominator as follows:
A M = 1 A M
Use these two formulas to get to your answer.
Leypoldon

Leypoldon

Beginner2022-08-07Added 8 answers

Step 1
( 1 b 4 ) 1 = 2 1 × b 4 × 1 = 1 2 × 1 b 4 = 1 2 × b 4

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