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f(x)=(2x^(-2))^4−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

(2x−2)4\left(2x^{-2}\right)^4

Step-by-step Solution

Learn how to solve problems step by step online. Solve the product power (2x^(-2))^4. The power of a product is equal to the product of it's factors raised to the same power. Calculate the power 2^4. Simplify \left(x^{-2}\right)^4 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals -2 and n equals 4. Multiply -2 times 4.
Solve the product power (2x^(-2))^4

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Final answer to the exercise

16x∣−8∣\frac{16}{x^{\left|-8\right|}}

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(2x−2)4
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