pre-calc/algebra formulas and cocnepts

when graphing an inequality phrased as “less than” or “greater than”, it uses ________

an open dot; that point is NOT included so it goes THROUGH the open dot; it does not “stop” at the point

when graphing an inequality phrased as “less than or equal to” or “greater than or equal to”, it uses _______

a closed dot; that point IS included so it STOPS at the closed dot; as if it is blocked at the point and has to stop before it can continue

when multiplying two values with the same base but different exponents, you ______ the exponents

add (product rule of exponents)

when dividing two values with the same base but different exponents, you ________ the exponents

subtract (quotient rule of exponents)

when a value with an exponent is being raised to another power, you ______ the exponents

multiply (power rule of exponents);

when two or more values are being multiplied and raised to a power, what happens to the values?

each value is raised to that power (power of a product rule)

when a fraction is raised to a power, what happens?

both the numerator and denominator is raised to the power (power of a fraction rule)

when a value has a negative exponent, what must you do?

convert the value into a fraction; value goes into denominator and the exponent is then made positive (negative exponent)

how can you rewrite a value’s fractional exponent into a radical expression?

value and the numerator go underneath the radical (aka it becomes the radicand) while the denominator becomes the index