Quick questions on Indices and standard form explained: O-Level E-Maths

For the same base, the index laws are:

The denominator of a fractional index is a root and the numerator is a power:

Standard form writes a number as $A \times 10^n$, where $1 \le A < 10$ and $n$ is an integer. Large numbers have positive $n$; small numbers have negative $n$. So $4\,500\,000 = 4.5 \times 10^6$ and $0.00072 = 7.2 \times 10^{-4}$.

Standard form makes comparing very large or very small numbers quick: compare the powers of ten first, and only if those are equal compare the leading numbers. So $4 \times 10^6$ is larger than $9 \times 10^5$ despite the smaller leading digit, because $10^6 > 10^5$. For negative powers (small numbers), a less negative power is larger, so $2 \times 10^{-3}$ exceeds $8 \times 10^{-5}$. Ordering a list of numbers by their power of ten first, then by leading digit, is the reliable method and a frequent E-Maths task that catches out anyone who only looks at the leading number.

Evaluate $5^{0} + 3^{-2}$. [2 marks]

Write $0.000\,036$ in standard form. [1 mark]

Evaluate $16^{3/4}$. [2 marks]