\( \left[2\left(x^{2} \times x^{3}\right)^{2}\right]^{3} \) 9. What is the answer in simplest form? A \( 2 x^{10} \) B \( 4 x^{15} \) C \( 6 x^{36} \) D \( 8 x^{30} \)
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
Extra Insights
To simplify the expression \( \left[2\left(x^{2} \times x^{3}\right)^{2}\right]^{3} \), first, simplify inside the brackets: 1. Inside the brackets: \( x^{2} \times x^{3} = x^{5} \). 2. Raise it to the power of \( 2 \): \( \left(x^{5}\right)^{2} = x^{10} \). 3. Multiply by \( 2 \): Thus, this becomes \( 2x^{10} \). Now raise it to the power of \( 3 \): 1. \( \left[2x^{10}\right]^{3} = 2^{3} \times (x^{10})^{3} = 8x^{30} \). So, the answer in simplest form is **D \( 8 x^{30} \)**.