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5.1 Homework Problems: Exponents

1. Simplify the following exponential expressions with positive exponents only

a.  83 * 80

b.  32 *  3

c.  3-1

d. 5-2

e.  (-2)4 (-2)0

f.  3(2-3)

g.  x2 * x3

h.  2x-1

i.  [latex]\frac{10^3}{10^4}[/latex]

j.  [latex]\frac{x^{-2}}{x^2}[/latex]

k.  (3y) (y4)

l.  (4x3)(9x1)

m.  [latex]\frac{-10x^5}{2x}[/latex]

n.  [latex]\frac{{10}^4\ \bullet\ {10}^3}{{10}^{-2}}[/latex]

o.  (-3xy)(-5x2y-3)

p.  [latex]\frac{-8x^2y^4}{4x^3y^2}[/latex]

2. Use the rules for raising exponents to a power to simplify the expressions with positive exponents only

a.  [latex]4\left(-3x^2\right)^3[/latex]

b.  [latex]5\left(x^2y^{-1}\right)[/latex]

c. [latex]-2\left(3x^5y^{-2}\right)^{-3}[/latex]

d.  [latex]{\ \left(\frac{-4x}{y^2}\right)}^2[/latex]

e.  [latex]\left(\frac{-7^2x^2y}{y^3}\right)^{-1}[/latex]

f.  [latex]{ \ \left(\frac{3xy^3}{4x^2y^{-3}}\right)}^{-1}\left(\frac{2x^3y^{-1}}{9x^{-3}y^{-1}}\right)^2[/latex]

3. Perform the indicated operation and write each of the resulting numbers in scientific notation

a.  [latex]\ 0.0003\times0.0000025[/latex]

b.  [latex]300\times0.00015[/latex]

c.  [latex]\frac{3900}{0.003}[/latex]

d.  [latex]\frac{0.005\times650\times3.3}{0.0011\times2500}[/latex]

Unit 5.1 Homework Printable Copy

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