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Simplifying Exponents and Polynomials

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Simplify. All variables represent nonzero real numbers.

1.) -5y^4 (y^5)^2
15y^7 (y^2)^3

2.) 3y^8 This whole problem is ^4

3.) 3^3 This whole problem is ^4


4.) 4 This whole problem is ^-2

5.) w^-4

6.) 2s^-1 t^-3 This whole problem is ^-3
6s^2 t^-4

Write each number in standard notation.

7.) 9.3x10^-5

8.) 8x10^6

Perform the computations.Write answers in scientific notation.

9.) 9x10^-4

Evaluate each polynomial as indicated.

10.) Evaluate: -2x^4-3x^2+5x-9 for x=12.

Perform the indicated operation.

11.) (w^2-2w+1) + (2w-5+w^2)

12.) (4-5y+y^3) - (2-3y+y^2)

Find each product.

13.) -12sq * 3s

14.) (3c^2d - d^3 +1) 8cd^2

Perform the indicated operation.

15.) (5x-6) (5x-6)

Use FOIL to find each product.

16.) (11x+3y) (x+4y)

17.) (5y^3w^2+z) (2y^3w^2+3z)

18.) (3h-5) (3h+5)

Find each product.

19.) (3y^2+1) (3y^2-1)

20.) (3z^4-8)^2

21.) 2 y - 1 This whole problem is ^2
3 2

Find each quotient. Try to write only the answer.

22.) b^19

23.) -12z^10 y^2
-2z^4 y^2

Find the quotients.

24.) 5y-10

Write each expression in the form
quotient + remainder.

25.) 2x^2+4

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Solution Summary

This solution explains through a variety of problems how to simplify exponents and polynomials.

See Also This Related BrainMass Solution

Simplifying Polynomials and Coefficient Operations

What is the basic principle that can be used to simplify a polynomial? What is the relevance of the order of operations in simplifying a polynomial? What operations can you associate with coefficients? What operations can you associate with exponents?

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