Understanding indices Today we are learning how to

Understanding indices Today we are learning how to: Recall the meaning of simple powers like square and cube Use the first index law

https: //www. youtube. com/watch? v=vm 4 xx 6 P 56 H 4

WHAT YOU NEED TO KNOW Exponents are superscript numerals that let you know how many times you should multiply a number by itself. An earthquake that measures a 7 on the Richter scale clocks in at 107 for seismic energy while an earthquake measuring an 8 represents 108 for seismic energy. This means the second earthquake is 10 times more powerful than the first.

WHAT YOU NEED TO KNOW Base number 9 2 Index or exponent The base number is the number to be multiplied by itself and the exponent tells you how many times to do this. 92 means 9 x 9.

Confidence builder What do the following mean? Simplify the following using exponents: 42 53 75 -23 8 x 8 7 x 7 x 7 2 x 2 x 2 3 x 3 x 4 x 4 x 3

Confidence builder Answers: 4 x 4 5 x 5 x 5 7 x 7 x 7 x 7 -2 x -2 82 73 25 33 x 4 2

WHAT DO YOU NOTICE? 42 = 4 x 4 and 43 = 4 x 4 What would 42 x 43 be simplified to? Can 42 x 32 be simplified and why?

1 st Law of Indices b a × c a = ? b+c a

DO NOW ACTIVITY

DO NOW ACTIVITY

CREATIVE TIME Create 2 indices questions that you think we haven’t explored in our lesson yet?

Summary What does the 2 and the 3 represent in the following? 23 How many times bigger is 35 than 33? Which of the following problems can be simplified? 32 x 3 4 x 3 5 33 x 24 x 32 2 4 x 35 x 62

Can you answer the following questions that we will explore next lesson? 45 � 42 (32)4 80