已知4×8^x×64^2x=64^62,求x的值(2)已知2^a·3^b·37^c=1998(其中a,c为自然数),求(a-b+c)^2008的值(3)计算0.25^16×4^17+9^17×(1/3)^32(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^200
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![已知4×8^x×64^2x=64^62,求x的值(2)已知2^a·3^b·37^c=1998(其中a,c为自然数),求(a-b+c)^2008的值(3)计算0.25^16×4^17+9^17×(1/3)^32(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^200](/uploads/image/z/3014204-68-4.jpg?t=%E5%B7%B2%E7%9F%A54%C3%978%5Ex%C3%9764%5E2x%3D64%5E62%2C%E6%B1%82x%E7%9A%84%E5%80%BC%EF%BC%882%EF%BC%89%E5%B7%B2%E7%9F%A52%5Ea%C2%B73%5Eb%C2%B737%5Ec%3D1998%EF%BC%88%E5%85%B6%E4%B8%ADa%EF%BC%8Cc%E4%B8%BA%E8%87%AA%E7%84%B6%E6%95%B0%EF%BC%89%EF%BC%8C%E6%B1%82%EF%BC%88a-b%2Bc%EF%BC%89%5E2008%E7%9A%84%E5%80%BC%EF%BC%883%EF%BC%89%E8%AE%A1%E7%AE%970.25%5E16%C3%974%5E17%2B9%5E17%C3%97%EF%BC%881%2F3%29%5E32%EF%BC%884%EF%BC%89%E8%AE%A1%E7%AE%97%EF%BC%881%2F2008%C3%971%2F2007%C3%97...%C3%971%2F2%C3%971%EF%BC%89%5E2008%C3%97%282008%C3%972007%C3%97...%C3%972%C3%971%EF%BC%89%5E200)
已知4×8^x×64^2x=64^62,求x的值(2)已知2^a·3^b·37^c=1998(其中a,c为自然数),求(a-b+c)^2008的值(3)计算0.25^16×4^17+9^17×(1/3)^32(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^200
已知4×8^x×64^2x=64^62,求x的值
(2)已知2^a·3^b·37^c=1998(其中a,c为自然数),求(a-b+c)^2008的值
(3)计算0.25^16×4^17+9^17×(1/3)^32
(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^2008
已知4×8^x×64^2x=64^62,求x的值(2)已知2^a·3^b·37^c=1998(其中a,c为自然数),求(a-b+c)^2008的值(3)计算0.25^16×4^17+9^17×(1/3)^32(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^200
4×8^x×64^2x=64^62
2^2*(2^3)^x*(2^6)^2x=(2^6)^62
2^(2+3x+12x)=2^(6*62)
15x+2=62*6
x=74/3
(2)已知2^a·3^b·37^c=1998(其中a,b,c为自然数),求(a-b+c)^2008的值
2^a*3^b*37^c=(2^1)*(3^3)*(37^1)
a=1
b=3
c=1
(a-b+c)^2008
=(1-3+1)^2008
=(-1)^2008
=1
(3)计算0.25^16×4^17+9^17×(1/3)^32
=(4^-16)*4^17+3^34*(3^-32)
=4+3^2
=13
(4)计算(1/2008×1/2007×...×1/2×1)^2008×(2008×2007×...×2×1)^2008
=(2008×2007×...×2×1)^2008/(2008×2007×...×2×1)^2008
=1
2008的平方