How to simplify $(7.87 times 10^-1)^-6$ in scientific notation?

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Answer 1 · 2016-06-08T09:06:41

$(7.87xx10^(-1))^(-6)=4.2087$

As $a^(-m)=1/a^m$ , $(ab)^n=a^nxxb^n$ , $(a^m)^n=a^(mxxn)$ and $(a/b)^n=a^n/b^n$

$(7.87xx10^(-1))^(-6)$

= $7.87^(-6)xx(10^(-1))^(-6)$

= $1/7.87^6xx10^((-1)xx(-6))$

= $1/237601.07xx10^6$

= $1000000/237601.07$

= $4.2087$

How to simplify (7.87 times 10^-1)^-6 (7.87 times 10^-1)^-6 in scientific notation?