Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 69
The link between positive and negative exponents \(\left(a^{-n}=\frac{1}{a^{n}}\right)\) along with the property \(\frac{a^{n}}{a^{m}}=a^{n-m}\) can also be used when reducing fractions. Consider this example: $$ \frac{x^{3}}{x^{7}}=x^{3-7}=x^{-4}=\frac{1}{x^{4}} $$ Use this approach to express each fraction in reduced form. Give all answers with positive exponents only. $$\frac{x^{4} y^{3}}{x^{7} y^{5}}$$
Problem 70
If the area of a rectangle is 56 square centimeters, and the width is \(w\) centimeters, what is the length of the rectangle?
Problem 70
The link between positive and negative exponents \(\left(a^{-n}=\frac{1}{a^{n}}\right)\) along with the property \(\frac{a^{n}}{a^{m}}=a^{n-m}\) can also be used when reducing fractions. Consider this example: $$ \frac{x^{3}}{x^{7}}=x^{3-7}=x^{-4}=\frac{1}{x^{4}} $$ Use this approach to express each fraction in reduced form. Give all answers with positive exponents only. $$\frac{x^{5} y^{2}}{x^{6} y^{3}}$$
Problem 70
Add or subtract as indicated and express your answers in simplest form. (Objective 3) $$\frac{5}{n+3}-\frac{7}{n}$$
Problem 71
Add or subtract as indicated and express your answers in simplest form. (Objective 3) $$\frac{4}{n}-\frac{6}{n+4}$$
Problem 71
The link between positive and negative exponents \(\left(a^{-n}=\frac{1}{a^{n}}\right)\) along with the property \(\frac{a^{n}}{a^{m}}=a^{n-m}\) can also be used when reducing fractions. Consider this example: $$ \frac{x^{3}}{x^{7}}=x^{3-7}=x^{-4}=\frac{1}{x^{4}} $$ Use this approach to express each fraction in reduced form. Give all answers with positive exponents only. $$\frac{28 a^{2} b^{3}}{-7 a^{5} b^{3}}$$
Problem 72
The link between positive and negative exponents \(\left(a^{-n}=\frac{1}{a^{n}}\right)\) along with the property \(\frac{a^{n}}{a^{m}}=a^{n-m}\) can also be used when reducing fractions. Consider this example: $$ \frac{x^{3}}{x^{7}}=x^{3-7}=x^{-4}=\frac{1}{x^{4}} $$ Use this approach to express each fraction in reduced form. Give all answers with positive exponents only. $$\frac{-44 a^{3} b^{4}}{4 a^{3} b^{6}}$$
Problem 72
Add or subtract as indicated and express your answers in simplest form. (Objective 3) $$\frac{8}{n}-\frac{3}{n-9}$$
Problem 73
For Problems \(73-76\), simplify each complex fraction. $$ 1-\frac{n}{1-\frac{1}{n}} $$
Problem 73
Add or subtract as indicated and express your answers in simplest form. (Objective 3) $$\frac{6}{x}-\frac{12}{2 x+1}$$
