Question

[flamefang]

1.thực hiện các phép tinh sau bằng cách hợp lý

a,  (2¹⁷ + 17²).(9¹⁵ - 3¹⁵).(2⁴ - 4²)

b,  (8²⁰¹⁷ - 8²⁰¹⁵):(8²¹⁰⁴. 8)

c,  (1³ + 2³ + 3⁴ + 4⁵ ).(1³ + 2³ +3³ + 4³).(3⁸-81²)

d,  (2⁸ + 8³):(2⁵.2³)

2.viết các kết quả sau dưới dạng 1 lũy thừa

a,  125⁵:25³

b,  27⁶ : 9³

c,  4²⁰ : 2¹⁵

d,  24ⁿ : 2²ⁿ

GIÚP!!

Answer 1

[Greninja]

Bài 1 :

a) \(\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).\left(2^4-4^2\right)\)

\(=\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).\left(16-16\right)\)

\(=\left(2^{17}+17^2\right).\left(9^{15}-3^{15}\right).0\)

\(=0\)

câu b sai đề rồi bạn , mình sủa lại đề nha :

b) \(\left(8^{2017}-8^{2015}\right)\div\left(8^{2014}.8\right)\)

\(=\left(8^{2017}-8^{2015}\right)\div8^{2015}\)

\(=8^{2017}\div8^{2015}-8^{2015}\div8^{2015}\)

\(=8^2-1\)

\(=64-1\)

\(=63\)

c) \(\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(3^8-81^2\right)\)

\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left[3^8.\left(3^4\right)^2\right]\)

\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left[3^8-3^8\right]\)

\(=\left(1^3+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).0\)

\(=0\)

d) \(\left(2^8+8^3\right)\div\left(2^5.2^3\right)\)

\(=\left[2^8+\left(2^3\right)^3\right]\div2^8\)

\(=\left[2^8+2^9\right]\div2^8\)

\(=2^8\div2^8+2^9\div2^8\)

\(=1+2\)

\(=3\)

Bài 2 :

a) \(125^5\div25^3=\left(5^3\right)^5\div\left(5^2\right)^3=5^{15}\div5^6=5^9\)

b) \(27^6\div9^3=\left(3^3\right)^6\div\left(3^2\right)^3=3^{18}\div3^6=3^{12}\)

c) \(4^{20}\div2^{15}=\left(2^2\right)^{20}\div2^{15}=2^{40}\div2^{15}=2^{25}\)

d) \(24^n\div2^{2n}=24^n\div4^n=6^n\)