ICSE Class 8 Answered
5^(-6)*(-2)^3/20*5^(-4)
Asked by sparshlondhe96.8spicertl | 24 May, 2020, 17:43: PM
![begin mathsize 16px style fraction numerator 5 blank to the power of negative 6 end exponent cross times negative 2 cubed over denominator 20 cross times 5 to the power of negative 4 end exponent end fraction
equals space fraction numerator 5 to the power of negative 6 end exponent cross times negative 2 cubed over denominator 5 cross times 2 squared cross times 5 to the power of negative 4 end exponent end fraction
equals fraction numerator 5 to the power of negative 6 end exponent cross times left parenthesis negative 1 right parenthesis cubed cross times left parenthesis 2 right parenthesis cubed space over denominator 5 to the power of 1 minus 4 end exponent cross times 2 squared end fraction
equals 5 to the power of negative 6 minus left parenthesis negative 3 right parenthesis end exponent cross times space minus 1 cross times 2 to the power of 3 minus 2 end exponent
equals 5 to the power of negative 3 end exponent cross times 2 cross times negative 1
equals fraction numerator negative 2 over denominator negative 125 end fraction
equals 2 over 125 end style](https://images.topperlearning.com/topper/tinymce/cache/6f063ee8ab92cf0e6ff11efed3b54f6c.png)
Answered by Yasmeen Khan | 24 May, 2020, 21:41: PM
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