Simplify (x^4)^-3*(2x^4)

Problem

(x4)(−3)⋅(2*x4)

Solution

1. Apply the power of a power rule to the first term (x4)(−3) by multiplying the exponents.

(x4)(−3)=x(4⋅(−3))=x(−12)

2. Rewrite the expression using the simplified first term.

x(−12)⋅2*x4

3. Apply the product rule for exponents by adding the exponents of the terms with the same base x

2⋅x(−12+4)=2*x(−8)

4. Rewrite with a positive exponent by moving the variable with the negative exponent to the denominator.

2*x(−8)=2/(x8)

Final Answer

(x4)(−3)⋅(2*x4)=2/(x8)

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