Powers, Roots & Standard Form Practice Questions

Work out the value of $5^3$.

Work out the value of $\sqrt{169}$.

Work out the value of $\sqrt[3]{216}$.

Write $128$ as a power of $2$.

Write $625$ as a power of $5$.

Write down the value of $12^0$.

Write down the value of $5^{-2}$.

Write $47\,000$ in standard form.

Write $0.00058$ in standard form.

Write $3.4\times10^{6}$ as an ordinary number.

$2^6 \times 2^5 = 2^n$

Find the value of $n$.

$\dfrac{7^{10}}{7^{4}} = 7^n$

Find the value of $n$.

$(3^4)^3 = 3^n$

Find the value of $n$.

$\dfrac{5^{8}}{5^{x}} = 5^{3}$

Find the value of $x$.

Work out the value of $2^5 - \sqrt{36}$

Work out the value of $\dfrac{2^{6} + \sqrt{36}}{\sqrt[3]{125}}$

Work out $(6\times10^{-3}) \times (8\times10^{7})$

Give your answer in standard form.

Work out $\dfrac{9.6\times10^{4}}{3.2\times10^{-2}}$

Give your answer in standard form.

Write the seeds in order of mass. Start with the lightest seed.

Work out the total mass of the sand in the bucket.

Give your answer in standard form.

Write the total mass of the sand in grams, as an ordinary number.

Work out $(7.4\times10^{5}) + (9.8\times10^{4})$

Give your answer in standard form.

Work out $(3\times10^{-3}) - (4.5\times10^{-4})$

Give your answer in standard form.

Work out how many times greater the mass of the bacterium is than the mass of the virus.

Give your answer in standard form.