6.5 Divide monomials  (Page 4/4)

ⓐ $\frac{x^{18}}{x^3}$ ⓑ $\frac{5^{12}}{5^3}$

ⓐ $\frac{y^{20}}{y^{10}}$ ⓑ $\frac{7^{16}}{7^2}$

ⓐ $\frac{p^{21}}{p^7}$ ⓑ $\frac{4^{16}}{4^4}$

ⓐ $\frac{u^{24}}{u^3}$ ⓑ $\frac{9^{15}}{9^5}$

ⓐ $\frac{q^{18}}{q^{36}}$ ⓑ $\frac{{10}^2}{{10}^3}$

ⓐ $\frac{t^{10}}{t^{40}}$ ⓑ $\frac{8^3}{8^5}$

ⓐ $\frac{b}{b^9}$ ⓑ $\frac{4}{4^6}$

ⓐ $\frac{x}{x^7}$ ⓑ $\frac{10}{{10}^3}$

ⓐ ${20}^0$
ⓑ $b^0$

ⓐ ${13}^0$
ⓑ $k^0$

ⓐ $\text{−}{27}^0$
ⓑ $\text{−}\left({27}^0\right)$

ⓐ $\text{−}{15}^0$
ⓑ $\text{−}\left({15}^0\right)$

ⓐ ${\left(25x\right)}^0$
ⓑ $25x^0$

ⓐ ${\left(6y\right)}^0$
ⓑ $6y^0$

ⓐ ${\left(12x\right)}^0$
ⓑ ${\left(\mathrm{-56}{p}^4{q}^3\right)}^0$

ⓐ $7y^0$ ${\left(17y\right)}^0$
ⓑ ${\left(\mathrm{-93}{c}^7{d}^{15}\right)}^0$

ⓐ $12n^0-18m^0$
ⓑ ${\left(12n\right)}^0-{\left(18m\right)}^0$

ⓐ $15r^0-22s^0$
ⓑ ${\left(15r\right)}^0-{\left(22s\right)}^0$

ⓐ ${\left(\frac{3}{4}\right)}^3$ ⓑ ${\left(\frac{p}{2}\right)}^5$ ⓒ ${\left(\frac{x}{y}\right)}^6$

ⓐ ${\left(\frac{2}{5}\right)}^2$ ⓑ ${\left(\frac{x}{3}\right)}^4$ ⓒ ${\left(\frac{a}{b}\right)}^5$

ⓐ ${\left(\frac{a}{3b}\right)}^4$ ⓑ ${\left(\frac{5}{4m}\right)}^2$

ⓐ ${\left(\frac{x}{2y}\right)}^3$ ⓑ ${\left(\frac{10}{3q}\right)}^4$

$\frac{{\left(a^2\right)}^3}{a^4}$

$\frac{{\left(p^3\right)}^4}{p^5}$

$\frac{{\left(y^3\right)}^4}{y^{10}}$

$\frac{{\left(x^4\right)}^5}{x^{15}}$

$\frac{u^6}{{\left(u^3\right)}^2}$

$\frac{v^{20}}{{\left(v^4\right)}^5}$

$\frac{m^{12}}{{\left(m^8\right)}^3}$

$\frac{n^8}{{\left(n^6\right)}^4}$

${\left(\frac{p^9}{p^3}\right)}^5$

${\left(\frac{q^8}{q^2}\right)}^3$

${\left(\frac{r^2}{r^6}\right)}^3$

${\left(\frac{m^4}{m^7}\right)}^4$

${\left(\frac{p}{r^{11}}\right)}^2$

${\left(\frac{a}{b^6}\right)}^3$

${\left(\frac{w^5}{x^3}\right)}^8$

${\left(\frac{y^4}{z^{10}}\right)}^5$

${\left(\frac{2j^3}{3k}\right)}^4$

${\left(\frac{3m^5}{5n}\right)}^3$

${\left(\frac{3c^2}{4d^6}\right)}^3$

${\left(\frac{5u^7}{2v^3}\right)}^4$

${\left(\frac{k^2{k}^8}{k^3}\right)}^2$

${\left(\frac{j^2{j}^5}{j^4}\right)}^3$

$\frac{{\left(t^2\right)}^5{\left(t^4\right)}^2}{{\left(t^3\right)}^7}$

$\frac{{\left(q^3\right)}^6{\left(q^2\right)}^3}{{\left(q^4\right)}^8}$

$\frac{{\left(\mathrm{-2}{p}^2\right)}^4{\left(3p^4\right)}^2}{{\left(\mathrm{-6}{p}^3\right)}^2}$

$\frac{{\left(\mathrm{-2}{k}^3\right)}^2{\left(6k^2\right)}^4}{{\left(9k^4\right)}^2}$

$\frac{{\left(\mathrm{-4}{m}^3\right)}^2{\left(5m^4\right)}^3}{{\left(\mathrm{-10}{m}^6\right)}^3}$

$\frac{{\left(\mathrm{-10}{n}^2\right)}^3{\left(4n^5\right)}^2}{{\left(2n^8\right)}^2}$

$56b^8÷7b^2$

$63v^{10}÷9v^2$

$\mathrm{-88}{y}^{15}÷8y^3$

$\mathrm{-72}{u}^{12}÷12u^4$

$\frac{45a^6{b}^8}{\mathrm{-15}{a}^{10}{b}^2}$

$\frac{54x^9{y}^3}{\mathrm{-18}{x}^6{y}^{15}}$

$\frac{15r^4{s}^9}{18r^9{s}^2}$

$\frac{20m^8{n}^4}{30m^5{n}^9}$

$\frac{18a^4{b}^8}{\mathrm{-27}{a}^9{b}^5}$

$\frac{45x^5{y}^9}{\mathrm{-60}{x}^8{y}^6}$

$\frac{64q^{11}{r}^9{s}^3}{48q^6{r}^8{s}^5}$

$\frac{65a^{10}{b}^8{c}^5}{42a^7{b}^6{c}^8}$

$\frac{\left(10m^5{n}^4\right)\left(5m^3{n}^6\right)}{25m^7{n}^5}$

$\frac{\left(\mathrm{-18}{p}^4{q}^7\right)\left(\mathrm{-6}{p}^3{q}^8\right)}{\mathrm{-36}{p}^{12}{q}^{10}}$

$\frac{\left(6a^4{b}^3\right)\left(4a{b}^5\right)}{\left(12a^{2}b\right)\left(a^{3}b\right)}$

$\frac{\left(4u^2{v}^5\right)\left(15u^{3}v\right)}{\left(12u^{3}v\right)\left(u^{4}v\right)}$

ⓐ $24a^5+2a^5$
ⓑ $24a^5-2a^5$
ⓒ $24a^5·2a^5$
ⓓ $24a^5÷2a^5$

ⓐ $15n^{10}+3n^{10}$
ⓑ $15n^{10}-3n^{10}$
ⓒ $15n^{10}·3n^{10}$
ⓓ $15n^{10}÷3n^{10}$

ⓐ $p^4·p^6$
ⓑ ${\left(p^4\right)}^6$

ⓐ $q^5·q^3$
ⓑ ${\left(q^5\right)}^3$

ⓐ $\frac{y^3}{y}$
ⓑ $\frac{y}{y^3}$

ⓐ $\frac{z^6}{z^5}$
ⓑ $\frac{z^5}{z^6}$

$\left(8x^5\right)\left(9x\right)÷6x^3$

$\left(4y\right)\left(12y^7\right)÷8y^2$

$\frac{27a^7}{3a^3}+\frac{54a^9}{9a^5}$

$\frac{32c^{11}}{4c^5}+\frac{42c^9}{6c^3}$

$\frac{32y^5}{8y^2}-\frac{60y^{10}}{5y^7}$

$\frac{48x^6}{6x^4}-\frac{35x^9}{7x^7}$

$\frac{63r^6{s}^3}{9r^4{s}^2}-\frac{72r^2{s}^2}{6s}$

$\frac{56y^4{z}^5}{7y^3{z}^3}-\frac{45y^2{z}^2}{5y}$

Memory One megabyte is approximately ${10}^6$ bytes. One gigabyte is approximately ${10}^9$ bytes. How many megabytes are in one gigabyte?

Memory One gigabyte is approximately ${10}^9$ bytes. One terabyte is approximately ${10}^{12}$ bytes. How many gigabytes are in one terabyte?

Jennifer thinks the quotient $\frac{a^{24}}{a^6}$ simplifies to $a^4$ . What is wrong with her reasoning?

Maurice simplifies the quotient $\frac{d^7}{d}$ by writing $\frac{{\cancel{d}}^7}{\cancel{d}}=7$ . What is wrong with his reasoning?

When Drake simplified $\text{−}{3}^0$ and ${\left(\mathrm{-3}\right)}^0$ he got the same answer. Explain how using the Order of Operations correctly gives different answers.

Robert thinks $x^0$ simplifies to 0. What would you say to convince Robert he is wrong?