1) \(\dfrac{8^{10}}{4^8}=\dfrac{\left(2^3\right)^{10}}{\left(2^2\right)^8}=\dfrac{2^{30}}{2^{16}}=2^{30-16}=3^{14}\)2) \(\dfrac{4^2\cdot4^3}{2^{10}}=\dfrac{4^{2+3}}{\left(2^2\right)^5}=\dfrac{4^5}{4^5}=1\)3) \(\dfrac{8^2\cdot4^5}{2^{20}}=\dfrac{\left(2^3\right)^2\cdot\left(2^2\right)^5}{2^{20}}=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{2^{16}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)4) \(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{2^7\cdot3}{2^{11}}=\dfrac{3}{2^4}=\dfrac{3}{16}\) 5) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}=\dfrac{2^{15}\cdot\left(3^2\right)^4}{3^6\cdot2^6\cdot\left(2^3\right)^3}=\dfrac{2^{15}\cdot3^8}{3^6\cdot2^6\cdot2^9}=\dfrac{2^{15}\cdot3^2}{2^{15}}=3^2=9\)6) \(\dfrac{2^7\cdot9^3}{6^3\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^3\cdot3^3\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^3\cdot3^3\cdot2^6}=\dfrac{2^7\cdot3^3}{2^9}=\dfrac{3^3}{2^2}=\dfrac{27}{4}\)Câu trả lời: 1) \(\dfrac{8^{10}}{4^8}=\dfrac{\left(2^3\right)^{10}}{\left(2^2\right)^8}=\dfrac{2^{30}}{2^{16}}=2^{30-16}=3^{14}\)2) \(\dfrac{4^2\cdot4^3}{2^{10}}=\dfrac{4^{2+3}}{\left(2^2\right)^5}=\dfrac{4^5}{4^5}=1\)3) \(\dfrac{8^2\cdot4^5}{2^{20}}=\dfrac{\left(2^3\right)^2\cdot\left(2^2\right)^5}{2^{20}}=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{2^{16}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)4) \(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{2^7\cdot3}{2^{11}}=\dfrac{3}{2^4}=\dfrac{3}{16}\) 5) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}=\dfrac{2^{15}\cdot\left(3^2\right)^4}{3^6\cdot2^6\cdot\left(2^3\right)^3}=\dfrac{2^{15}\cdot3^8}{3^6\cdot2^6\cdot2^9}=\dfrac{2^{15}\cdot3^2}{2^{15}}=3^2=9\)6) \(\dfrac{2^7\cdot9^3}{6^3\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^3\cdot3^3\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^3\cdot3^3\cdot2^6}=\dfrac{2^7\cdot3^3}{2^9}=\dfrac{3^3}{2^2}=\dfrac{27}{4}\)

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trần thị quỳnh anh

7 tháng 6 - olm

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#Toán lớp 7

HT.Phong (9A5)

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7 tháng 6

1) \(\dfrac{8^{10}}{4^8}=\dfrac{\left(2^3\right)^{10}}{\left(2^2\right)^8}=\dfrac{2^{30}}{2^{16}}=2^{30-16}=3^{14}\)

2) \(\dfrac{4^2\cdot4^3}{2^{10}}=\dfrac{4^{2+3}}{\left(2^2\right)^5}=\dfrac{4^5}{4^5}=1\)

3) \(\dfrac{8^2\cdot4^5}{2^{20}}=\dfrac{\left(2^3\right)^2\cdot\left(2^2\right)^5}{2^{20}}=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{2^{16}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\)

4) \(\dfrac{2^7\cdot9^3}{6^5\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^5\cdot3^5\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^5\cdot3^5\cdot2^6}=\dfrac{2^7\cdot3}{2^{11}}=\dfrac{3}{2^4}=\dfrac{3}{16}\)

5) \(\dfrac{2^{15}\cdot9^4}{6^6\cdot8^3}=\dfrac{2^{15}\cdot\left(3^2\right)^4}{3^6\cdot2^6\cdot\left(2^3\right)^3}=\dfrac{2^{15}\cdot3^8}{3^6\cdot2^6\cdot2^9}=\dfrac{2^{15}\cdot3^2}{2^{15}}=3^2=9\)

6) \(\dfrac{2^7\cdot9^3}{6^3\cdot8^2}=\dfrac{2^7\cdot\left(3^2\right)^3}{2^3\cdot3^3\cdot\left(2^3\right)^2}=\dfrac{2^7\cdot3^6}{2^3\cdot3^3\cdot2^6}=\dfrac{2^7\cdot3^3}{2^9}=\dfrac{3^3}{2^2}=\dfrac{27}{4}\)

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