## Powers

Start off by going to Key Skills

### Introduction

I will just state a few points

any number to the power zero is one, e.g.

### 70=1,    30=1,    120=1,     x0=1

Remember also that

### Multiplying and Dividing Numbers with Indices

If I can state a couple of rules by example

### 75 ÷ 72= 7(5-2) = 73

To see how these rules work, consider the 'long method' in each case.

and

### 75 ÷ 72= (7 × 7× 7× 7× 7) ÷ (7× 7) = 73

These rules can be generalized to more complicated problems, for example

$\frac{7^5 \times 7^2}{7^3}$ $= \frac{7^7}{7^3}$ $=7^4$