Chapter 2 - Section 2.6 - Scientific Notation - Exercises - Page 127: 77

$$1.17\times 10^{10}.$$

We have $$\left(\frac{48,000\times 0.0144 }{0.0064}\right)^2 =\left(\frac{(4.8\times10^4)(1.44\times10^{-2})}{6.4\times10^{-3}}\right)^2 \\=\left(\frac{6.912\times 10^2 }{6.4\times 10^{-3}}\right)^2\\ =(1.08\times 10^5)^2= 1.17\times 10^{10}.$$