Simplify (2b^4)^-1

Problem

(2*b4)(−1)

Solution

1. Apply the power of a product rule, which states that (x*y)n=xn*yn

(2*b4)(−1)=2(−1)*(b4)(−1)

2. Apply the power of a power rule to the variable term, which states that (xa)b=x(a*b)

2(−1)*(b4)(−1)=2(−1)*b(−4)

3. Apply the negative exponent rule, which states that x(−n)=1/(xn) to move the terms to the denominator.

2(−1)*b(−4)=1/(2*b4)

4. Simplify the expression by removing the exponent of 1.

1/(2*b4)=1/(2*b4)

Final Answer

(2*b4)(−1)=1/(2*b4)

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