Michele Conway, Belle Cottingham, Alastair Duncombe and, Amanda George Solutions for Exercise 3: Exercise 1

Sara thinks that $9^0>5^0$ as the powers are the same and $9>5$.

Matas thinks that $9^0>9^{-2}$ as they both have the same base of $9$ but $0>-2$.

Explain the mistakes that Sara and Matas have made.

If $5^k$ $=0.04$, then $k=$_____.

Use numbers $-1,-2, 2, 3, 4, 5, 6$ once only to complete these statements.

$4^x=2^6$

Find the value of $x$.

Use numbers $-1,-2, 2, 3, 4, 5, 6$ once only to complete these statements.

$x^{-2}=y^{-1}$

Find the values of $x \& y$.

Use numbers $-1,-2, 2, 3, 4, 5, 6$ once only to complete these statements.

$x^{-2}=y^z$

Find the values of $x, y \& z$.

Computer memory is measured in bytes. For example, one byte is needed to hold a character of text. A kilobyte is $2^{10}=1024$ bytes. In computing this is called $1KB$.

Use a calculator to write $2KB$ values as a power of $2$ kilobytes.

Computer memory is measured in bytes. For example, one byte is needed to hold a character of text. A kilobyte is $2^{10}=1024$ bytes. In computing this is called $1KB$.

Use a calculator to write $\frac{1}{KB}$ values as a power of $2$ kilobytes.

Computer memory is measured in bytes. For example, one byte is needed to hold a character of text. A kilobyte is $2^{10}=1024$ bytes. In computing this is called $1KB$.

Use a calculator to write $0.5 KB$ values as a power of $2$ kilobytes.