Question

simplify and write in exponential form 2⁴×2⁶×2⁵×5²/2²×2⁵×2⁸×10²​

Answer 1

Answer:

1/2^2  or 1/4

Step-by-step explanation:

-Cancel out the powers by using a^m/a^n=a^m-n

-Also expand 10^2 as (2x5)^2=2^2 x 5^2

-Then cancel out the remaning powers and you will be left with 1/2^2 which you can write as 1/4.

Answer 2

Answer:

1/2

Step-by-step explanation:

$\frac{ {2}^{4} \times {2}^{6} \times {2}^{5} \times {5}^{2} }{ {2}^{2} \times {2}^{5} \times {2}^{8} \times {10}^{2} } \\ \frac{ {40}^{4 + 6 + 5 + 2} }{ {80}^{2 + 5 + 8 + 2} } \\ \frac{ {40}^{17} }{ {80}^{17 } } \\ \frac{1}{2}$

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