Question

Simplify (6x^-2)^2 (0.5x)^4 Show your work PLEASE HELP THANK YOU!

Answer 1

Use Multiplication Distribute Property: (xy)^a = x^ay^a

6^2(x^-2)^2(0.5x)^4

Simplify 6^2 to 36

36(x^-2)^2(0.5x)^4

Use this rule: (x^a)^b = x^ab

36x^-4(0.5x)^4

Use the Negative Power Rule: x^-a = 1/x^a

36 × 1/x^4(0.5x)^4

Use the Multiplication Distributive Property: (xy)^a = x^ay^a

36 × 1/x^4 × 0.5^4x^4

Simplify 0.5^4 to 0.0625

36 × 1/x^4 × 0.0625x^4

Simplify

2.25x^4/x^4

Cancel x^4

2.25