Powers, Roots, Indices, Standard Form & Surds Assessment

Write 0.00056 in standard form.

Simplify $\sqrt{72}$ fully.

Create a clear annotated answer on the canvas. Use a diagram, graph, flowchart, equation layout and/or concise labels to show your reasoning.

Calculate $(3\times 10^4)(2\times 10^{-3})$ and give the coefficient only in standard form.

State the index laws for multiplying and dividing powers.

What is a zero index?

What is standard form?

What is a surd?

How do you rationalise a denominator such as $1/\sqrt{3}$?

Use the lesson knowledge to answer precisely: State the index laws for multiplying and dividing powers.

Use the lesson knowledge to answer precisely: What is a zero index?

Rationalise $1/(-1+\sqrt{3})$ using the conjugate. Give your answer in simplified surd form.

To rationalise a denominator of $2-\sqrt{5}$, you multiply top and bottom by its conjugate. Write down the conjugate of $2-\sqrt{5}$.