749

Indices Question 1.

Simplify the following expressions:

(a)

$$ a^7 \times a^8 $$

(b)

$$ 7b^9 + 8b^9 $$

(c)

$$ (2c)^5 \times c^{-3} $$

(d)

$$ (d^4 e^3) \div (d^{-1} e^3) $$

420

Indices Question 2.

Show that 206 can be written as the sum of a power of five and a square number.

347

Indices Question 3.

\(y = a \times b^{x – 2}\) where \(a\) and \(b\) are numbers.

\(y = 5\) when \(x = 2\)

\(y = 0.005\) when \(x = 5\)

Work out the value of \(y\) when \(x = 4\)

If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.