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a) 6 9 : 6 7 = 6 9 - 7 = 6 2
b) 7 5 : 7 2 = 7 5 - 2 = 7 3
c) 11 8 : 11 3 : 11 2 = 11 8 - 3 - 2 = 11 3
d) x 8 - 7 - 1 = x 0 = 1
a, 6 9 : 6 7 = 6 9 - 7 = 6 2
b, 7 5 : 7 2 = 7 5 - 2 = 7 3
c, 11 8 : 11 3 : 11 2 = 11 8 - 3 - 2 = 11 3
d, x 8 : x 7 : x = x 8 - 7 - 1 = x 0 = 1
A. \(256:2^5\cdot4\)
\(=2^6:2^5\cdot2^2\)
\(=2^{6-5+2}\)
\(=2^3\)
B. \(\left(4x^2\right)^8:\left(4x^2\right)^4:\left(4x^2\right)^2\)
\(=\left(4x^2\right)^{8-4-2}\)
\(=\left(4x^2\right)^2\)
\(=\left[\left(2x\right)^2\right]^2\)
\(=\left(2x\right)^4\)
C. \(y^{50}:\left(y^5\right)^3:\left(y^2\right)^{10}\)
\(=y^{50}:y^{15}:y^{20}\)
\(=y^{50-15-20}\)
\(=y^{15}\)
\(a,3^4.3^5=3^{4+5}=3^9\\ b,12^8:12=12^{8-1}=12^7\\ c,4.8^6.2.8^3=\left(4.2\right).\left(8^6.8^3\right)=8.8^{6+3}=8.8^9=8^{1+9}=8^{10}\)
\(a.3^4.3^5=3^9\)
\(b.12^8:12=12^7\)
\(c.4.8^6.2.8^3\)
\(=\left(4.2\right)8^6.8^3\)
\(=8.8^6.8^3=8^{10}\)
a) \(3\cdot3^4\cdot3^5=3^{10}\)
b) \(7^3:7^2:7=7^{3-2-1}=7^0\)
c) \(\left(x^4\right)^3=x^{12}\)
a) \(9^3\cdot3^2\)
\(=\left(3^2\right)^3\cdot3^2\)
\(=3^6\cdot3^2\)
\(=3^8\)
b) \(x^7\cdot x:x^4\)
\(=x^8:x^4\)
\(=x^4\)
c) \(7\cdot3^9+3^{10}+51\cdot3^8\)
\(=3^8\cdot\left(7\cdot3+3^2+51\right)\)
\(=3^8\cdot81\)
\(=3^8\cdot3^4\)
\(=3^{12}\)
d) \(5^{15}\cdot125^3\cdot625\)
\(=5^{15}\cdot5^9\cdot5^4\)
\(=5^{28}\)
a) \(a^9:a^7\cdot\left(a^2\right)^2\)
\(=a^9:a^7\cdot a^4\)
\(=a^2\cdot a^4\)
\(=a^6\)
b) \(\left(ab\right)^6:b^5:b\)
\(=a^6b^6:b^4\)
\(=a^6b^2\)
\(x^8:x^7:x=x^1:x=1^1\)
x8:x7:x=x8-7-1=x0=1