## Question 36

Evaluate $\frac{{{5}^{-3}}\times {{5}^{-4}}}{{{5}^{-6}}\times {{5}^{-2}}}$

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Evaluate $\frac{{{5}^{-3}}\times {{5}^{-4}}}{{{5}^{-6}}\times {{5}^{-2}}}$

If $\frac{{{4}^{x+3}}}{{{16}^{2x-3}}}=1$ find x

Solve for *x* in $8{{x}^{-2}}=\frac{2}{25}$

$\text{Simplify }\frac{{{3}^{-5n}}}{{{9}^{1-n}}}\times {{27}^{n+1}}$

If ${{27}^{x+2}}\div {{9}^{x+1}}={{3}^{2x}}$**, **find *x*

Simplify ${{\left( \frac{16}{81} \right)}^{\tfrac{1}{4}}}\div {{\left( \frac{9}{16} \right)}^{-\tfrac{1}{2}}}$

Evaluate ${{\left( \frac{81}{16} \right)}^{-\tfrac{1}{4}}}\times {{2}^{-1}}$

Solve ${{5}^{2(x-1)}}\times {{5}^{x+1}}=0.04$

Simplify ${{16}^{-\tfrac{1}{2}}}\times {{4}^{-\tfrac{1}{2}}}\times {{27}^{\tfrac{1}{3}}}$

Find the value of x for which $2({{3}^{2x-1}})=162$

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