$w$ is increased by $10\%$
$d$ is increased by $5\%$

Lottie says,
         "The value of $T$ will increase because both $w$ and $d$ are increased."

Lottie is wrong.
Explain why.

Write $7.97\times{10}^{-6}$ as an ordinary number.

Write 8.2 x 10⁵ as an ordinary number.

$T=\sqrt{\frac{w}{{d}^{3}}}$

$w=5.6\times{10}^{-5}\;d=1.4\times{10}^{-4}$

Work out the value of $T$.
Give your answer in standard form correct to $3$ significant figures.