What I learned this week

This week, I learned about the exponents laws, and here are some of them:

Rule: When multiplying powers with the same base, you add the exponents.

1) 5^35^4 = 5^7

5•5•5•5•5•5•5= 5^7

2) 3^33^2 = 3^5

3•3•3•3•3= 3^5

 

Rule: When dividing powers with the same base, you subtract the exponents.

1) 5^5 ÷ 5^3 = 5^2

2) 5^7 ÷ 5^4 = 5^3

 

Rule: To raise a power to a power, multiply the exponents.

21db7b010479c5e122a4126e5c60ad41

 

Rule: When a product is raised to an exponent, you can rewrite each factor in the product with the same exponent.

( 3 × 2 ) ^3

( 3 × 2 ) ( 3 × 2 ) ( 3 × 2 ) = 3^22^3

Rule: When a quotient is raised to an exponent, you can rewrite each number in the quotient with the same exponent.

1) 5^4 ÷ 5^4 = 5^0 = 1

Rule: When the exponent of a power is zero, the value of the power is 1 (as long as the base is zero)

[ 2× ( -3 ) ] ^5

= 2^5(-3)^5

= -7776

 

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