## What I’ve learned in Math this Week

Week of October 24

In Math, we have been learning about Powers and Exponents. The most beneficial thing that I have learned so far in this unit, has been the rules for Exponents. Here are a few rules that I have learned.

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The rule for Multiplying powers with the same base is:

“If the base is the same, you can write the base the same with the exponents added together.”

Example: $5^3$ $5^2$ $5^3$ = 5x5x5 $5^2$ = 5×5

This equals $5^5$ because the exponents were added together and the base is the same.

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The rule for Dividing powers with the same base is:

“When you are dividing powers with the same base, you subtract the exponents and leave the base the same.”

Example: $9^7\div9^2$

This equals $9^5$ because the exponents were subtracted and the base was left the same.

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The rule for the Power of a product is:

“when a product is raised to an exponent, you can re-write each factor in the product with the same number of exponents.”

Example: (4•5)6  = (4•5)(4•5)(4•5)(4•5)(4•5)(4•5)

= $4^6$ $5^6$

The answer is $4^6$ $5^6$ because there are 6 4’s and 6 5’s so you write it as $4^6$ $5^6$ .