Question

Simplify these expressions
a) 5 x x
b) 6 xxxy
c) 2 xxx 3xy

Answer 1

To simplify the algebraic expressions, apply the rules of exponents and multiply the coefficients and like terms together, resulting in 5x, 6x^3y, and 6x^4y respectively.

Step-by-step explanation:

The expressions given can be simplified by using the rules of exponents and algebraic multiplication.

1. To simplify 5 x x, we interpret this as 5 times x, which is 5x.
2. To simplify 6 xxxy, we notice there is a repetition of the variable x. Using the rule of exponents, we can simplify this to 6x3y.
3. The expression 2 xxx 3xy can be interpreted as (2 times x times x times x) times (3 times x times y). To simplify, we multiply the coefficients (2 and 3) and add the exponents of the x terms, resulting in 6x4y.

Remember the rule for exponents: (xa)b = xa.b and xpxq = x(p+q). Always check to see if your final answer is reasonable.

Answer 2

5x^2
6x^3y
2x^3 3xy
^ means the little number above x eg x^3