Simplify.
320 (1/2)^5
A. 10
B. 50
C. 32
D. 160

Answer:
[tex]320\left(\frac{1}{2}\right)^5=10[/tex]
Step-by-step explanation:
[tex]320\cdot \frac{1}{2^5}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=\frac{1\cdot \:320}{2^5}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:320=320[/tex]
[tex]=\frac{320}{2^5}[/tex]
[tex]Factor 320: 2^{6}*5[/tex]
[tex]=\frac{2^6\cdot \:5}{2^5}[/tex]
[tex]cancel \frac{2^{6}*5}{2^{5} }:2*5[/tex]
[tex]=2\cdot \:5[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10[/tex]
[tex]=10[/tex]
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