Question

Tính :

h, (\(\frac{1}{2}\) )¹⁵ . (\(\frac{1}{4}\) )²⁰

k, (\(\frac{1}{9}\) )²⁵ : ( \(\frac{1}{3}\) )³⁰

l,( \(\frac{1}{16}\) )³ : (\(\frac{1}{8}\) )²

Answer 1

k) \(\left(\frac{1}{9}\right)^{25}:\left(\frac{1}{3}\right)^{30}\)

\(=\left[\left(\frac{1}{3}\right)^2\right]^{25}:\left(\frac{1}{3}\right)^{30}\)

\(=\left(\frac{1}{3}\right)^{50}:\left(\frac{1}{3}\right)^{30}\)

\(=\left(\frac{1}{3}\right)^{50-30}\)

\(=\left(\frac{1}{3}\right)^{20}\)

Answer 2

h) \(\left(\frac{1}{2}\right)^{15}.\left(\frac{1}{4}\right)^{20}\)

\(=\left(\frac{1}{2}\right)^{15}.\left[\left(\frac{1}{2}\right)^2\right]^{20}\)

\(=\left(\frac{1}{2}\right)^{15}.\left(\frac{1}{2}\right)^{40}\)

\(=\left(\frac{1}{2}\right)^{15+40}\)

\(=\left(\frac{1}{2}\right)^{55}\)