Question

Express 4-3 as a power with base 2​

Answer 1

Answer:

4−3=2−6(base2)

Step-by-step explanation:

\begin{gathered}4^{-3}\\=\left(2^{2}\right)^{-3}\\=2^{2\times (-3)}\end{gathered}4−3=(22)−3=22×(−3)

\begin{gathered}By \: Exponential \: Law:\\\boxed {\left(a^{m}\right)^{n}=a^{mn}}\end{gathered}ByExponentialLaw:(am)n=amn

=2^{-6}\: (base \:2)=2−6(base2)

Therefore,

4^{-3}=2^{-6}\: (base \:2)4−3=2−6(base2)

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Answer 2

Answer:

4 =2×2=2^2

(4^-3)= (2×2)^-3

=(2^2)^-3 = 2^2 ×(-3)

=2^-6