1 What is the difference between simplifying an

1. What is the difference between simplifying an expression and solving an expression? 2. -(3 x+5)-4 x+3 3. 5 x-7=13 4. x/2 +4 =16 5. Write the following expressions in algebraic form: 4 more than f 6 times m less than y.

Rational Exponents And Roots

Basic Exponent and Root rules • When you are multiply exponents that have the same base you should add the exponents. • Ex. x 7∙x 3= x 10 23∙ 22=25 25=32 • When dividing exponential expressions with like bases you subtract the exponents. Exponent on the top of the fraction subtracted by the on the bottom • Ex. x 7 x 2 • = x 5

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. (x 4)3= x 12 (35)2= 310 (xm)n= xmn • Negative exponents- a negative exponent means you flip to its reciprocal • Ex. x-4 = 1/x 4 3 -2=1/32=1/9

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

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