Express 4-3 as a power with the base 2
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Answered by
0
Answer:
log 1 base 2................
Answered by
0
Answer:
Answer:
4^{-3}=2^{-6}\: (base \:2)4
−3
=2
−6
(base2)
Step-by-step explanation:
\begin{gathered}4^{-3}\\=(2^{2})^{-3}\\=2^{2\times (-3)}\end{gathered}
4
−3
=(2
2
)
−3
=2
2×(−3)
\begin{gathered}By \: Exponential \: Law:\\\boxed {(a^{m})^{n}=a^{mn}}\end{gathered}
ByExponentialLaw:
(a
m
)
n
=a
mn
=2^{-6}\: (base \:2)=2
−6
(base2)
Therefore,
4^{-3}=2^{-6}\: (base \:2)4
−3
=2
−6
(base2)
•••♪
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