The first step for solving this equation is to rewrite [tex] \sqrt{ 16^{5} } [/tex] using [tex] \sqrt[n]{ a^{m} } [/tex] = [tex] \sqrt[n]{a}^{m} [/tex].
[tex] \sqrt{16} ^{5} [/tex] = 16 × [tex] \frac{5}{2} [/tex]
Reduce the numbers with 2.
[tex] \sqrt{16} ^{5} [/tex] = 8 × 5
Calculate the square root.
[tex]4^{5} [/tex] = 8 × 5
Multiply the numbers on the right side of the equals sign.
[tex]4^{5} [/tex] = 40
Evaluate the power.
1024 = 40
This means that this equality is false because the left and right side are different. The correct answer to your question should be false.
Let me know if you have any further questions.
:)
