1. 1. What is the difference between simplifying an expression and solving an expression? (3x+5)-4x x-7= x/2 +4 = Write the following expressions in algebraic form: 4 more than f 6 times m less than y.

2. Rational Exponents
And
Roots

3. Basic Exponent and Root rules
When you are multiply exponents that have the same base you should add the exponents.
Ex. x7∙x3= x ∙22= =32
When dividing exponential expressions with like bases you subtract the exponents. Exponent on the top of the fraction subtracted by the one on the bottom
Ex. x7 x2
= x5

4. Basic Exponent and Root rules
Raising a power to a power- when raising an exponential expression to a power you should multiply the exponents.
Ex. (x4)3= x12 (35)2= 310 (xm)n= xmn
Negative exponents- a negative exponent means you flip to its reciprocal
Ex. x-4 = 1/x4 3-2=1/32=1/9

5. Rational Exponents and Roots
A rational number is a number that can be written as a ratio (fraction)
A rational exponent is a an exponent that is a fraction.
A rational exponent is another way of writing a radical √ (also known as a square root sign)
The denominator of the fraction indicates the root.
*Radicals and exponents are inverse operations

6. examples
Rewriting expressions involving radicals and rational exponents using the properties of exponents
Rewriting exponential expressions a radical expressions