Question

Answer 1

a: \(=5^{16}\cdot7^{16}=35^{16}\)

b: \(=\left(\dfrac{1}{2}\right)^{15}\cdot\left(\dfrac{1}{2}\right)^{36}=\left(\dfrac{1}{2}\right)^{51}\)

c: \(=5^6\cdot5^{14}:5^{12}=5^8\)

d: \(=2^{16}\cdot5^8=20^8\)

e: \(=\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^{18}=\left(\dfrac{1}{5}\right)^{22}\)

f: \(=\left(\dfrac{1}{7}\right)^9:\left(\dfrac{1}{7}\right)^4=\left(\dfrac{1}{7}\right)^5\)

Answer 2

\(a,=5^{16}.7^{16}\\ b,=\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{2}\right)^{36}=\left(\dfrac{1}{2}\right)^{51}\\ c,=5^6.5^{14}:5^{12}\\ =5^8\\ d,=2^{16}.5^8\\ e,=\left(\dfrac{1}{5}\right)^4.\left(\dfrac{1}{5}\right)^{18}\\ =\left(\dfrac{1}{5}\right)^{22}\\ f,=\left(\dfrac{1}{7}\right)^9:\left(\dfrac{1}{7}\right)^4\\ =\left(\dfrac{1}{7}\right)^5\)