1)
Ustal wartość m i n w równości:
2)
Oblicz czwartą część liczby
1]
[⁶⁴/₁₀₀]⁵×[⁵/₁₆]⁴=2m/5n
¹⁶/₂₅×[¹⁶/₂₅]⁴×[⁵/₁₆]⁴=¹⁶/₂₅×[⅕]⁴=[⅘]²×[¹/₂₅]²=[⁴/₁₂₅]²=¹⁶/₁₅₂₅=[2×8]/[5×3125]
2×8=2m⇒m=8
5×3125=5n⇒n=3125
2]
¼×16⁸=2⁻²×[2⁴]⁸=2⁻²×2³²=2³⁰
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1]
[⁶⁴/₁₀₀]⁵×[⁵/₁₆]⁴=2m/5n
¹⁶/₂₅×[¹⁶/₂₅]⁴×[⁵/₁₆]⁴=¹⁶/₂₅×[⅕]⁴=[⅘]²×[¹/₂₅]²=[⁴/₁₂₅]²=¹⁶/₁₅₂₅=[2×8]/[5×3125]
2×8=2m⇒m=8
5×3125=5n⇒n=3125
2]
¼×16⁸=2⁻²×[2⁴]⁸=2⁻²×2³²=2³⁰