a) (2¹⁷+ 17²).(9¹⁵– 3¹⁵).(2⁴ – 4²)

= (2¹⁷ + 17²).(9¹⁵ – 3¹⁵).(16 - 16)

= 0

Vậy giá trị cần tìm là: 0

b) (8²⁰¹⁷– 8²⁰¹⁵) : (8²¹⁰⁴.8)

= 8²⁰¹⁵.(8²- 1) : 8²⁰¹⁵ 

= 64 – 1

= 63

Vậy giá trị cần tìm là: 63

a) (217 + 172).(915 – 315).(24 – 42)

= (217 + 172).(915 – 315).(16 - 16)

= 0

Vậy giá trị cần tìm là: 0

b) (82017 – 82015) : (82104.8)

= 82015.(82- 1) : 82015 

= 64 – 1

= 63

Vậy giá trị cần tìm là: 63

a) 0

b) 63

\(\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(2^4-4^2\right)\)

\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(16-16\right)\)

\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).0\)

\(=0\)

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\(\left(7^{1997}-7^{1995}\right):\left(7^{1994}.7\right)\)

\(=\left[7^{1995}\left(7^2-1\right)\right]:7^{1995}\)

\(=7^{1995}.48:7^{1995}\)

\(=48\)

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

\(=\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(6561-6561\right)\)

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

\(=0\)

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\(\left(2^8+8^3\right):\left(2^5.2^3\right)\)

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

\(=\left(2^8+2^9\right):2^8\)

\(=2^8.\left(1+2\right):2^8\)

\(=2^8.3:2^8\)

\(=3\)

sos

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

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

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

\(=0\)

\((7^{1997}-7^{1995}):(7^{1994}.7)\)

\(=(7^{1997}-7^{1995}):7^{1995}\)

\(=7^{1997}:7^{1995}-7^{1995}:7^{1995}\)

\(=7^{2}-1=49-1=48\)

\(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).(3^{8}-81^{2})\)

\(=(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).(6561-6561)\)

\(=(1^{2}+2^{3}+3^{4}+4^{5}).(1^{3}+2^{3}+3^{3}+4^{3}).0\)

\(=0\)

\((2^{8}+8^{3}):(2^{5}.2^{3})\)

\(=[2^{8}+(2^{3})^{3}]:2^{8}\)

\(=(2^{8}+2^{9}):2^{8}\)

\(=2^{8}:2^{8}+2^{9}:2^{8}\)

\(=1+2=3\)

a: Ta có: \(\left(2^{17}+17^2\right)\cdot\left(9^{15}-3^{15}\right)\cdot\left(2^4-4^2\right)\)

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

=0

b: Ta có: \(\dfrac{8^{2017}-8^{2015}}{8^{2104}\cdot8}\)

\(=\dfrac{8^{2015}\cdot\left(8^2-1\right)}{8^{2105}}\)

\(=\dfrac{1\cdot63}{8^{90}}\)+

c: Ta có: \(\left(1^3+2^3+3^4+4^5\right)\cdot\left(1^3+2^3+3^3+4^3\right)\cdot\left(3^8-81^2\right)\)

\(=\left(1^3+2^3+3^4+4^5\right)\cdot\left(1^3+2^3+3^3+4^3\right)\cdot\left(3^8-3^8\right)\)

=0

d: Ta có: \(\left(2^8+8^3\right):\left(2^5\cdot2^3\right)\)

\(=\dfrac{2^8+2^9}{2^8}\)

=3

(2¹⁷ + 17²) . (9¹⁵ - 3¹⁵) . (2⁴ - 4²)

= (2¹⁷ + 17²) . (9¹⁵ - 3¹⁵) . (16 - 16)

= (2¹⁷ + 17²) . (9¹⁵ - 3¹⁵) . 0

= 0

\(a,A=\left(2^{17}+17^2\right)\left(9^{15}-3^{30}\right).\left(2^4-32^2\right)\)

\(\Rightarrow A=\left(2^{17}+17^2\right)\left(3^{30}-3^{30}\right).\left(2^4-32^2\right)\)

\(\Rightarrow A=\left(2^{17}+17^2\right).0.\left(2^4-32^2\right)\)

\(\Rightarrow A=0.\)

\(\Rightarrow B=\left(2^8.8^3\right):\left(2^5.2^3\right)\)

\(\Rightarrow B=\left(2^8.2^9\right):\left(2^5.2^3\right)\)

\(\Rightarrow B=2^{17}:2^8\)

\(\Rightarrow B=2^9\)

\(\Rightarrow B=512\)

\(c,C=64^4.16^5:4^{20}\)

\(\Rightarrow C=2^{24}.2^{20}:2^{40}\)

\(\Rightarrow C=2^4\)

\(\Rightarrow C=16\)

a: \(A=\left(2^{17}+17^2\right)\cdot\left(2^4-32^2\right)\cdot\left(3^{30}-3^{30}\right)=0\)

b: \(B=\dfrac{2^8\cdot2^9}{2^5\cdot2^3}=2^9\)

c: \(C=2^{24}\cdot2^{20}:2^{40}=2^4=16\)

Ta có: \(\left(2^{17}+15^4\right)\cdot\left(3^{19}-2^{17}\right)\cdot\left(2^4-4^2\right)\)

\(=\left(2^{17}+15^4\right)\left(3^{19}-2^{17}\right)\cdot\left(16-16\right)\)

=0

= ( 2^17 + 15^3 ). ( 3^45 - 6^5) (2^4 - (2^2)^2)

=  (2^17 + 15^3 ). ( 3^45 - 6^5). (2^4 - 2^4)= 0

Để tính giá trị của biểu thức $(217+153) \times (345-65) \times (24-42)$, ta thực hiện các phép tính trong ngoặc trước tiên:

$$(217+153) = 370$$

$$(345-65) = 280$$

$$(24-42) = -18$$

Thay các giá trị này vào biểu thức ban đầu, ta có:

$$370 \times 280 \times (-18)$$

$$= -7.546.400$$

Vậy giá trị của biểu thức là -7.546.400.

\(\left(2^{17}+15^3\right)\cdot\left(3^{45}-6^5\right).\left(2^4-4^2\right)\\ =\left(2^{17}+15^3\right)\cdot\left(3^{45}-6^5\right).\left(16-16\right)\\ =\left(2^{17}+15^3\right)\cdot\left(3^{45}-6^5\right).0\\ =0\)