Exponent - the number usually a superscript, indicating the number of times a number is multiplied to itself.
Example:
[tex]5^3 = 5*5*5 = 125[/tex]
[tex]2^4 = 2*2*2*2=16[/tex]
Solving Square Roots
Square Root - the square root of x is a number y such that y^2 = x
Only Positive Numbers have Real number square roots
Negative Numbers have imaginary square roots
A positive number has two square roots, one POSITIVE and one NEGATIVE
[tex] \sqrt{x} [/tex] -> means principal or positive square root
[tex]- \sqrt{x} [/tex] -> means negative square root
Example
[tex] \sqrt{25} = 5 [/tex]
[tex]- \sqrt{25} = -5 [/tex]
[tex] \sqrt{36} = 6 [/tex]
[tex]- \sqrt{36} = -6 [/tex]
Some number do not have whole number square roots, some numbers have radicals as square roots
Examples:
[tex] \sqrt{2} = \sqrt{2}[/tex] <-- remains the same
[tex]- \sqrt{2} =- \sqrt{2}[/tex] <-- remains the same
For solving for square roos by trial and error, think of a number when multiplied to itself is that number
Example:
64, 8 because 8 x 8 = 64
