Math, asked by anmole341, 7 months ago

Express 4-3 as a power with the base 2​

Answers

Answered by dhadbanjannarahari46
0

Answer:

log 1 base 2................

Answered by kavana92
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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