10.4 Divide monomials  (Page 3/5)

$\frac{4^8}{4^2}$

$\frac{3^{12}}{3^4}$

$\frac{x^{12}}{x^3}$

$\frac{u^9}{u^3}$

$\frac{r^5}{r}$

$\frac{y^4}{y}$

$\frac{y^4}{y^{20}}$

$\frac{x^{10}}{x^{30}}$

$\frac{{10}^3}{{10}^{15}}$

$\frac{r^2}{r^8}$

$\frac{a}{a^9}$

$\frac{2}{2^5}$

$5^0$

${10}^0$

$a^0$

$x^0$

$-7^0$

$-4^0$

1. ⓐ ${\left(10p\right)}^0$
2. ⓑ $10p^0$

1. ⓐ ${\left(3a\right)}^0$
2. ⓑ $3a^0$

1. ⓐ ${\left(\mathrm{-27}{x}^{5}y\right)}^0$
2. ⓑ $\mathrm{-27}{x}^5{y}^0$

1. ⓐ ${\left(\mathrm{-92}{y}^{8}z\right)}^0$
2. ⓑ $\mathrm{-92}{y}^8{z}^0$

1. ⓐ ${15}^0$
2. ⓑ ${15}^1$

1. ⓐ $-6^0$
2. ⓑ $-6^1$

$2·x^0+5·y^0$

$8·m^0-4·n^0$

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

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

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

${\left(\frac{p}{2}\right)}^5$

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

${\left(\frac{a}{b}\right)}^8$

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

${\left(\frac{2x}{y}\right)}^4$

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

$\frac{{\left(y^4\right)}^3}{y^7}$

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

$\frac{{\left(y^2\right)}^5}{y^6}$

$\frac{y^8}{{\left(y^5\right)}^2}$

$\frac{p^{11}}{{\left(p^5\right)}^3}$

$\frac{r^5}{r^4·r}$

$\frac{a^3·a^4}{a^7}$

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

${\left(\frac{u}{u^{10}}\right)}^2$

${\left(\frac{a^4·a^6}{a^3}\right)}^2$

${\left(\frac{x^3·x^8}{x^4}\right)}^3$

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

$\frac{{\left(z^6\right)}^2}{{\left(z^2\right)}^4}$

$\frac{{\left(x^3\right)}^6}{{\left(x^4\right)}^7}$

$\frac{{\left(x^4\right)}^8}{{\left(x^5\right)}^7}$

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

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

${\left(\frac{3y^2·y^5}{y^{15}·y^8}\right)}^0$

${\left(\frac{15z^4·z^9}{0.3z^2}\right)}^0$

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

$\frac{{\left(p^4\right)}^2{\left(p^3\right)}^5}{{\left(p^2\right)}^9}$

$\frac{{\left(3x^4\right)}^3{\left(2x^3\right)}^2}{{\left(6x^5\right)}^2}$

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

$48b^8÷6b^2$

$42a^{14}÷6a^2$

$36x^3÷\left(\mathrm{-2}{x}^9\right)$

$20u^8÷\left(\mathrm{-4}{u}^6\right)$

$\frac{18x^3}{9x^2}$

$\frac{36y^9}{4y^7}$

$\frac{\mathrm{-35}{x}^7}{\mathrm{-42}{x}^{13}}$

$\frac{18x^5}{\mathrm{-27}{x}^9}$

$\frac{18r^{5}s}{3r^3{s}^9}$

$\frac{24p^{7}q}{6p^2{q}^5}$

$\frac{8m{n}^{10}}{64m{n}^4}$

$\frac{10a^{4}b}{50a^2{b}^6}$

$\frac{\mathrm{-12}{x}^4{y}^9}{15x^6{y}^3}$

$\frac{48x^{11}{y}^9{z}^3}{36x^6{y}^8{z}^5}$

$\frac{64x^5{y}^9{z}^7}{48x^7{y}^{12}{z}^6}$

$\frac{(10u^{2}v)(4u^3{v}^6)}{5u^9{v}^2}$

$\frac{(6m^{2}n)(5m^4{n}^3)}{3m^{10}{n}^2}$

$\frac{(6a^4{b}^3)(4a{b}^5)}{(12a^{8}b)(a^{3}b)}$

$\frac{(4u^5{v}^4)(15u^{8}v)}{(12u^{3}v)(u^{6}v)}$

1. ⓐ $24a^5+2a^5$
2. ⓑ $24a^5-2a^5$
3. ⓒ $24a^5\cdot 2a^5$
4. ⓓ $24a^5÷2a^5$

1. ⓐ $15n^{10}+3n^{10}$
2. ⓑ $15n^{10}-3n^{10}$
3. ⓒ $15n^{10}\cdot 3n^{10}$
4. ⓓ $15n^{10}÷3n^{10}$

1. ⓐ $p^4\cdot p^6$
2. ⓑ ${\left(p^4\right)}^6$

1. ⓐ $q^5\cdot q^3$
2. ⓑ ${\left(q^5\right)}^3$

1. ⓐ $\frac{y^3}{y}$
2. ⓑ $\frac{y}{y^3}$

1. ⓐ $\frac{z^6}{z^5}$
2. ⓑ $\frac{z^5}{z^6}$

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

$\left(4y^5\right)\left(12y^7\right)÷8y^2$

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

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

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

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

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

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

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

Memory One megabyte is approximately ${10}^6$ bytes. One terabyte is approximately ${10}^{12}$ bytes. How many megabytes are in one terabyte?

Vic thinks the quotient $\frac{x^{20}}{x^4}$ simplifies to $x^5.$ What is wrong with his reasoning?

Mai simplifies the quotient $\frac{y^3}{y}$ by writing $\frac{{\cancel{y}}^3}{\cancel{y}}=3.$ What is wrong with her reasoning?

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

Roxie thinks $n^0$ simplifies to $0.$ What would you say to convince Roxie she is wrong?