Zadanie 9
Ustal, jaki znak: \(\displaystyle <\), \(\displaystyle =\) lub \(\displaystyle >\) należy wstawić w miejsce kropek.
a) \(\displaystyle 4^5 + 4^5 + 4^5 + 4^5 \dots 4^6\)
b) \(\displaystyle -15 \cdot (-15)^0 \dots -15^0\)
c) \(\displaystyle (-2)^0 - 0^7 \dots -2^0\)
d) \(\displaystyle (-8)^0 - 8^0 \dots 0^{16}\)
RozwiÄ…zanie:
a)
\[4^5 + 4^5 + 4^5 + 4^5 = 4 \cdot 4^5 = 4^1 \cdot 4^5 = 4^6\]
Znak: \(\displaystyle =\)
b)
\[-15 \cdot (-15)^0 = -15 \cdot 1 = -15\]
\[-15^0 = -(15^0) = -1\]
\[-15 < -1\]
Znak: \(\displaystyle <\)
c)
\[(-2)^0 - 0^7 = 1 - 0 = 1\]
\[-2^0 = -(2^0) = -1\]
\[1 > -1\]
Znak: \(\displaystyle >\)
d)
\[(-8)^0 - 8^0 = 1 - 1 = 0\]
\[0^{16} = 0\]
Znak: \(\displaystyle =\)