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\(A=\left(4^5\times9^4+2\times6^9\right)\div\left(2^{10}\times3^8-6^8\times2\right)\)
\(\Leftrightarrow A=\frac{4^5\times9^4+2\times6^9}{2^{10}\times3^8-6^8\times2}\)
\(\Leftrightarrow A=\frac{\left(2^2\right)^5\times\left(3^2\right)^4+2\times\left(3\times2\right)^9}{2^{10}\times3^8-\left(3\times2\right)^8\times2}\)
\(\Leftrightarrow A=\frac{2^{10}\times3^8+2\times3^9\times2^9}{2^{10}\times3^8-3^8\times2^8\times2}\)
\(\Leftrightarrow A=\frac{2^{10}\times3^8+2^{10}\times3^8\times3}{2^{10}\times3^8-3^8\times2^9}\)
\(\Leftrightarrow A=\frac{3^8\left(2^{10}+2^{10}\times3\right)}{3^8\left(2^{10}-2^9\right)}\)
\(\Leftrightarrow A=\frac{2^{10}+2^{10}\times3}{2^{10}-2^9}\)
\(\Leftrightarrow A=\frac{2^{10}\left(1+3\right)}{2^9\left(2-1\right)}\)
\(\Leftrightarrow A=\frac{2\left(1+3\right)}{2-1}\)
\(\Leftrightarrow A=\frac{2\times4}{1}\)
\(\Leftrightarrow A=8\)
a) |10| + |-10| = 10 + 10 = 20 b) |-9| - |-2| = 9 - 2 = 7
c) |-8| . |-5| = 8. 5 = 40 d) |18| : |-6| = 18 : 6 = 3
( 4^5.9^4+2.6^9) : (2^10.3^8-6^8.2) = \(\frac{4^5.9^4+2.6^9}{2^{10}.3^8-6^8.2}=\frac{\left(2^2\right)^5.\left(3^2\right)^4+2.6^9}{2^{10}.3^8-6^8.2}\)
= \(\frac{2^{10}.3^8+2.6^9}{2^{10}.3^8-6^8.2}=\frac{2\left(6^8.8\right)}{2.6^8}=\frac{6^8.8}{6^8}=8\)
Phân tích ra bình thường pạn ạ
5.4^15.9^9-4.3^20.8^9
5.2^9.6^19-7.2^29.27^6
= 5.2^30.3^18-2^2.3^20.2^27
5.2^9.2^19.3^19-7.2^29.3^18
= 2^29.3^18(5.2-3^2)
2^28.3^18(5.3-7.2)
= 2^29.3^18
2^28.3^18
=2
Cái 4^15=2^30 là 4^15=(2^2)^15= 4^15
Những cái sau Tương tự pạn nhé
9 . ( − 6 ) − ( − 2 ) 3 = ( − 54 ) − ( − 8 ) = ( − 54 ) + 8 = − 46.
( − 6 ) . 9 − ( − 9 ) . 8 = ( − 54 ) − ( − 72 ) = ( − 54 ) + 72 = 18.