How do you multiply #( \frac { 4} { 8} ) ^ { 2} \times \frac { 3} { 16}#?

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Answer 1 · 2018-07-02T21:11:09

#3/64#

#(4/8)^2\times3/16=(1/2)^2\times 3/16=1/2^2\times3/16=1/4\times3/16=3/64#

Answer 2 · 2018-07-02T21:51:24

#3/64#

We can rewrite #(4/8)^2# as #(4^2)/(8^2)#. Notice, we only distributed the exponent to the top and bottom. We now have

#16/64xx3/16#

#cancel16/64xx3/cancel16=color(blue)(3/64)#

Hope this helps!