Question
Simplify the expression
−24300eiNanYuRSh
Evaluate
2025Nian×6Yue×1×Ri×21Shi−2025Nian×6Yue×1×Ri×19Shi
Rewrite the expression in exponential form
2025Nian×6Yue×1×Ri×21Shi−2025Ni3an×6Yue×1×R×19Sh
Rewrite the expression in exponential form
2025Ni3an×6Yue×1×R×21Sh−2025Ni3an×6Yue×1×R×19Sh
Evaluate the power
More Steps

Evaluate
i3
Calculate
i2×i
Calculate
−i
2025N(−i)an×6Yue×1×R×21Sh−2025Ni3an×6Yue×1×R×19Sh
Evaluate the power
More Steps

Evaluate
i3
Calculate
i2×i
Calculate
−i
2025N(−i)an×6Yue×1×R×21Sh−2025N(−i)an×6Yue×1×R×19Sh
Multiply the terms
More Steps

Multiply the terms
2025N(−i)an×6Yue×1×R×21Sh
Rewrite the expression
2025N(−i)an×6YueR×21Sh
Rewrite the expression
−2025Nian×6YueR×21Sh
Multiply the terms
More Steps

Evaluate
2025×6×21
Multiply the terms
12150×21
Multiply the numbers
255150
−255150NianYueRSh
Multiply the terms
More Steps

Evaluate
255150NianYueRSh
Multiply the numbers
255150iNanYueRSh
Multiply the numbers
255150eiNanYuRSh
−255150eiNanYuRSh
−255150eiNanYuRSh−2025N(−i)an×6Yue×1×R×19Sh
Multiply the terms
More Steps

Multiply the terms
2025N(−i)an×6Yue×1×R×19Sh
Rewrite the expression
2025N(−i)an×6YueR×19Sh
Rewrite the expression
−2025Nian×6YueR×19Sh
Multiply the terms
More Steps

Evaluate
2025×6×19
Multiply the terms
12150×19
Multiply the numbers
230850
−230850NianYueRSh
Multiply the terms
More Steps

Evaluate
230850NianYueRSh
Multiply the numbers
230850iNanYueRSh
Multiply the numbers
230850eiNanYuRSh
−230850eiNanYuRSh
−255150eiNanYuRSh−(−230850eiNanYuRSh)
Rewrite the expression
−255150eiNanYuRSh+230850eiNanYuRSh
Collect like terms by calculating the sum or difference of their coefficients
(−255150ei+230850ei)NanYuRSh
Solution
More Steps

Evaluate
−255150ei+230850ei
Collect like terms
(−255150e+230850e)i
Calculate
−24300ei
−24300eiNanYuRSh
Show Solution
