4, 9, 16, 36, 49, 64, 8 100, . . .22×24×26= 212 A2×A3×A5= A10■ WH...

1, 4, 9, 16, 36, 49, 64, 81, 100, . . .2

²

×2

⁴

×2

⁶

= 2

¹²

a

²

×a

³

×a

⁵

= a

¹⁰

■

When dividing identical bases, you subtract theProperties of Square Root Radicalsexponents.

■

The product of the square roots of two numbersExamples:is the same as the square root of their product.

5

7

2

Example:

3

= 2²

a

a

4

= a³

2

a × b= a ×bHere is another method of illustrating multipli-5× 3= 15cation and division of exponents:

■

The quotient of the square roots of two numbersb

^m

×b

ⁿ

= b

^{m + n}

m

is the square root of the quotient.

b

n

= b^{m – n}

b

■

If an exponent appears outside of the parentheses,√¯¯¯a

√ ¯¯¯

you multiply the exponents together.= ab ⁽b≠0)√¯¯¯b(3

³

)

⁷

= 3

²¹

(g

⁴

)

³

= g

¹²

√¯¯¯¯¯15√¯¯¯5=3 ⁼√¯¯¯3

√ ¯¯¯¯¯

¹⁵Squares and Square Roots

■

The square of a square root radical is the radicand.The square rootof a number is the product of a num-ber and itself. For example, in the expression 3

²

= 3 ×(N)

²

= N3 = 9, the number 9 is the squareof the number 3. If(3)

²

= 3 × 3= 9= 3we reverse the process, we can say that the number 3 isthe square root of the number 9. The symbol for square