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Indices

1.

Simplify the following expressions:

(a)

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

(b)

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

(c)

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

(d)

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

2.

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

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 \(x = 4\)

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