Rewrite the expression using only positive exponents and the lowest exponents possible. There is an answer bank link at the bottom to check your answers.
1) \( \Large\frac{7^3}{7^5} \)
2) \(\Large\frac{4x^2y^4}{8xy^6} \)
3) \( \Large\frac{x^8}{x^4} \)
4) \( \Large\frac{y^4}{y^7} \)
5) \( (y^{10}z^2 )(y^3 z^5) \)
6) \( (2m^{13} n ) (8m^6 n^4 ) \)
7) \( \Large\frac{ x^5 y^8}{x^5 y^6} \)
8) \( \Large\frac{16q^0 r^2}{4q^2 r^3} \)
9) \( \Large\frac{112a^2 b^9}{21 a^3 b^5 } \)
10) \( \Large\frac{-8e^4 f^2 }{-18 ef} \)
Determine the missing expression for each equation.
11) \( 49c^{14}d^{4}=(?)(7^0c^{3}d^{3}) \)
12) \( w^{12}=\dfrac{?}{w^{2}} \)
13) \( 3^5 s^{22}=(3^7s^4)(?) \)
14) \( 27 x^2 y^3 = \large\frac{?}{3^2 x^4 y^3} \)
15) \( \Large\frac{5g^7}{h^2}=\frac{5^3 g^{19} h^7}{?} \)
1) \( \Large\frac{7^3}{7^5} \)
2) \(\Large\frac{4x^2y^4}{8xy^6} \)
3) \( \Large\frac{x^8}{x^4} \)
4) \( \Large\frac{y^4}{y^7} \)
5) \( (y^{10}z^2 )(y^3 z^5) \)
6) \( (2m^{13} n ) (8m^6 n^4 ) \)
7) \( \Large\frac{ x^5 y^8}{x^5 y^6} \)
8) \( \Large\frac{16q^0 r^2}{4q^2 r^3} \)
9) \( \Large\frac{112a^2 b^9}{21 a^3 b^5 } \)
10) \( \Large\frac{-8e^4 f^2 }{-18 ef} \)
Determine the missing expression for each equation.
11) \( 49c^{14}d^{4}=(?)(7^0c^{3}d^{3}) \)
12) \( w^{12}=\dfrac{?}{w^{2}} \)
13) \( 3^5 s^{22}=(3^7s^4)(?) \)
14) \( 27 x^2 y^3 = \large\frac{?}{3^2 x^4 y^3} \)
15) \( \Large\frac{5g^7}{h^2}=\frac{5^3 g^{19} h^7}{?} \)
Review
16) Find \( h(-2) \) for the function \( h(x) = -x^2 - 2x + 4 \).
17) Graph the following linear equation: \( 3x - 7y = 14 \).
18) Solve the equation: \( 3(x - 2) = 4x - 8 - x \).
16) Find \( h(-2) \) for the function \( h(x) = -x^2 - 2x + 4 \).
17) Graph the following linear equation: \( 3x - 7y = 14 \).
18) Solve the equation: \( 3(x - 2) = 4x - 8 - x \).