(1又1/3)的2001次方乘以(-1又1/4)的2002次方乘以(-3/5)的2003次方等于多少?

问题描述:

(1又1/3)的2001次方乘以(-1又1/4)的2002次方乘以(-3/5)的2003次方等于多少?

(4/3)的2001次方乘以(-5/4)的2002次方乘以(-3/5)的2003次方
=-(4/3)的2001次方乘以(5/4)的2002次方乘以(3/5)的2003次方

=-(4/3×5/4×3/5)的2001次方 乘以(5/4)乘以(3/5)的平方
=-1乘以(5/4)乘以(3/5)的平方
=-9/20

=(4/3)^2001*(-5/4)^2001*(-5/4)*(-3/5)^2001*(-3/5)^2
=[4/3*(-5/4)*(-3/5)]^2001*(-5/4)*(-3/5)*(-3/5)
=1^2001*(-9/20)
=-9/20

=(4/3)^2001 * (-5/4)^2001 * (-3/5)^2001 *( (-5/4) * (-3/5) * (-3/5))
=(4/3 * (-5/4) * (-3/5))^2001 * (-9/20)
=1^2001 * (-9/20)
=1 * (-9/20)
= -9/20
谢谢

原式=(4/3)^2001x(-5/4)^2002x(-3/5)^2003
=4^2001/3^2001*5^2002/4^2002*(-3^2003/5^2003)
=-3^2/(4*5)
=-9/20

(1又1/3)的2001次方乘以(-1又1/4)的2002次方乘以(-3/5)的2003次方
=-(4/3×5/4×3/5)的2001次方乘以(5/4)乘以(3/5)的2次方
=1×5/4×9/25
=9/20