Степень переменной: Произведение одинаковых переменных записывается в виде степени. Переменная становится основанием степени, а количество множителей — ее показателем.
а) t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t t \cdot t \cdot t \cdot t \cdot t \cdot t \cdot t t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t Переменная t t t повторяется 7 7 7 раз.
t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t = t 7 t \cdot t \cdot t \cdot t \cdot t \cdot t \cdot t = t^7 t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t ⋅ t = t 7 б) r ⋅ r ⋅ r ⋅ r r \cdot r \cdot r \cdot r r ⋅ r ⋅ r ⋅ r Переменная r r r повторяется 4 4 4 раза.
r ⋅ r ⋅ r ⋅ r = r 4 r \cdot r \cdot r \cdot r = r^4 r ⋅ r ⋅ r ⋅ r = r 4 в) a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a Переменная a a a повторяется 8 8 8 раз.
a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a = a 8 a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a = a^8 a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a ⋅ a = a 8 г) h ⋅ h h \cdot h h ⋅ h Переменная h h h повторяется 2 2 2 раза.
h ⋅ h = h 2 h \cdot h = h^2 h ⋅ h = h 2 д) c ⋅ c ⋅ c ⋅ c ⋅ c c \cdot c \cdot c \cdot c \cdot c c ⋅ c ⋅ c ⋅ c ⋅ c Переменная c c c повторяется 5 5 5 раз.
c ⋅ c ⋅ c ⋅ c ⋅ c = c 5 c \cdot c \cdot c \cdot c \cdot c = c^5 c ⋅ c ⋅ c ⋅ c ⋅ c = c 5 е) a ⋅ a ⋅ ⋯ ⋅ a ⏟ p множителей \underbrace{a \cdot a \cdot \dots \cdot a}_{p \text{ множителей}} p множителей a ⋅ a ⋅ ⋯ ⋅ a Переменная a a a повторяется p p p раз.
Ответы: а) t 7 t^7 t 7 ; б) r 4 r^4 r 4 ; в) a 8 a^8 a 8 ; г) h 2 h^2 h 2 ; д) c 5 c^5 c 5 ; е) a p a^p a p .
💡 Похожие задачи Задачи на определение степени и основания числа.