Question

HELP!!!In the expression 100 a/b, if a is greater than b, which statements are true? b ≠ 0. Select all that apply.

Answer 1

`\large\boxed{\text{The expression is equal to}\ \sqrt[b]{100^a}}\\\boxed{\text{The expression is greater than 100}}`

Explanation:

`a^(m)/(n)=\sqrt[n]{a^m}\\\\\text{True statement:}\\\\100^(a)/(b)=\sqrt[b]{100^a}\\\\a>b\to(a)/(b)>1\to(a)/(b)=1(a-b)/(b)\\\\100^(a)/(b)=100^{1(a-b)/(b)}=100^{1+(a-b)/(b)}=100^1\cdot100^(a-b)/(b)=100\sqrt[b]{100^(a-b)}\\\\a>b\to a-b>0\to100^(a-b)>1\\\\\text{Therefore}\ 100\sqrt[b]{100^(a-b)}>100`