Perform all indicated operations, and express each answer in simplest form with positive exponents. Assume that all variables represent positive real numbers. Have to show all work.

a.

b.  

c.  

d.

e.

Step-by-step explanation:

a.

Expand each expression

Split the first two surds

Apply law of indices

Apply law of indices

Factorize

The expression cannot be further simplified

b.

Expand the expression

Apply the following law of indices;

Add the exponents

The expression cannot be further simplified

c.

Rationalize the denominator

Simplify the numerator

Simplify the denominator by difference of two squares

The expression cannot be further simplified

d.

Expand the expression

Open the bracket

Open both brackets

Multiply each expression in the bracket

Solve like terms

Take square root of 25 and y²

Remove the brackets

The expression cannot be further simplified

e.

This expression can not be simplified; However, it can be rewritten, by applying law of indices as

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

60

step-by-step explanation: