Powers and Exponents

Multiplication = short-cut addition ,[object Object],[object Object],[object Object],[object Object]

Powers = short-cut multiplication ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object]

How to read powers and exponents ,[object Object],[object Object],[object Object]

squared = base 2 ,[object Object],[object Object],[object Object]

cubed = base 3 ,[object Object],[object Object],[object Object]

Common Mistake ,[object Object],[object Object],[object Object]

Common mistake ,[object Object],[object Object],Why? The 1 and the positive sign are invisible. Anything x 1=anything, so 1 x 2 x 2 x 2 x 2 = 16; and negative x positive = negative

Common Mistake ,[object Object],Why? Multiply the numbers: 2 x 2 x 2 x 2 = 16 and then multiply the signs: 1 st negative x 2 nd negative = positive; that positive x 3 rd negative = negative; that negative x 4 th negative = positive; so answer = positive 16

When the exponent is 0 , ,[object Object],[object Object],[object Object],[object Object],[object Object]

When the exponent is 1 , ,[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object]

The invisible exponent 1 ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],The invisible exponent 1

“Write a power as a product…” ,[object Object],[object Object],[object Object],[object Object]

“Find the value of the product…” ,[object Object],[object Object],[object Object],[object Object]

“ Write prime factorization using exponents…” ,[object Object],[object Object],[object Object],[object Object]

Congratulations! ,[object Object],[object Object]

Notes for teachers ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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