6.7 Integer exponents and scientific notation  (Page 8/10)

${10}^4$

${17}^1$

${\left(\frac{2}{9}\right)}^2$

${\left(0.5\right)}^3$

${\left(\mathrm{-2}\right)}^6$

$\text{−}{2}^6$

$x^4·x^3$

$p^{15}·p^{16}$

$4^{10}·4^6$

$8·8^5$

$n·n^2·n^4$

$y^c·y^3$

${(m^3)}^5$

${(5^3)}^2$

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

${\left(3^r\right)}^s$

${(4a)}^2$

${\left(\mathrm{-5}y\right)}^3$

${(2mn)}^5$

${\left(10xyz\right)}^3$

${\left(p^2\right)}^5·{\left(p^3\right)}^6$

${(4a^3{b}^2)}^3$

${(5x)}^2(7x)$

${(2q^3)}^4{(3q)}^2$

${\left(\frac{1}{3}{x}^2\right)}^2{\left(\frac{1}{2}x\right)}^3$

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

$\left(\mathrm{-15}{x}^2\right)\left(6x^4\right)$

$(\mathrm{-9}{n}^7)(\mathrm{-16}n)$

$(7p^5{q}^3)(8p{q}^9)$

$\left(\frac{5}{9}a{b}^2\right)\left(27a{b}^3\right)$

$7(a+9)$

$\mathrm{-4}(y+13)$

$\mathrm{-5}(r-2)$

$p(p+3)$

$\text{−}m(m+15)$

$\mathrm{-6}u(2u+7)$

$9(b^2+6b+8)$

$3q^2(q^2-7q+6)$ 3

$(5z-1)z$

$(b-4)·11$

$\left(x-4\right)\left(x+10\right)$

$\left(6y-7\right)\left(2y-5\right)$

$(x+3)(x+9)$

$(y-4)(y-8)$

$(p-7)(p+4)$

$(q+16)(q-3)$

$(5m-8)(12m+1)$

$(u^2+6)(u^2-5)$

$\left(9x-y\right)\left(6x-5\right)$

$(8mn+3)(2mn-1)$

$\left(n+1\right)\left(n^2+5n-2\right)$

$\left(3x-4\right)\left(6x^2+x-10\right)$

$(y-2)(y^2-8y+9)$

$(7m+1)(m^2-10m-3)$

${(c+11)}^2$

${\left(q-15\right)}^2$

${\left(x+\frac{1}{3}\right)}^2$

${(8u+1)}^2$

${(3n^3-2)}^2$

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

$(s-7)(s+7)$

$\left(y+\frac{2}{5}\right)\left(y-\frac{2}{5}\right)$

$(12c+13)(12c-13)$

$(6-r)(6+r)$

$\left(u+\frac{3}{4}v\right)\left(u-\frac{3}{4}v\right)$

$(5p^4-4q^3)(5p^4+4q^3)$

${(3m+10)}^2$

$(6a+11)(6a-11)$

$(5x+y)(x-5y)$

${(c^4+9d)}^2$

$(p^5+q^5)(p^5-q^5)$

$(a^2+4b)(4a-b^2)$

$\frac{u^{24}}{u^6}$

$\frac{{10}^{25}}{{10}^5}$

$\frac{3^4}{3^6}$

$\frac{v^{12}}{v^{48}}$

$\frac{x}{x^5}$

$\frac{5}{5^8}$

${75}^0$

$x^0$

$\text{−}{12}^0$

$\left(\text{−}{12}^0\right)$ ${\left(\mathrm{-12}\right)}^0$

$25x^0$

${\left(25x\right)}^0$

$19n^0-25m^0$

${\left(19n\right)}^0-{\left(25m\right)}^0$

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

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

${\left(\frac{r}{s}\right)}^8$

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

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

$\frac{n^{10}}{{\left(n^5\right)}^2}$

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

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

${\left(\frac{c^2}{d^5}\right)}^9$

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

${\left(\frac{v^3{v}^9}{v^6}\right)}^4$

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

$\mathrm{-65}{y}^{14}÷5y^2$

$\frac{64a^5{b}^9}{\mathrm{-16}{a}^{10}{b}^3}$

$\frac{144x^{15}{y}^8{z}^3}{18x^{10}{y}^2{z}^{12}}$

$\frac{\left(8p^6{q}^2\right)\left(9p^3{q}^5\right)}{16p^8{q}^7}$

$\frac{42z^2-18z}{6}$

$\left(35x^2-75x\right)÷5x$

$\frac{81n^4+105n^2}{\mathrm{-3}}$

$\frac{550p^6-300p^4}{10p^3}$

$\left(63x{y}^3+56x^2{y}^4\right)÷\left(7xy\right)$

$\frac{96a^5{b}^2-48a^4{b}^3-56a^2{b}^4}{8a{b}^2}$

$\frac{57m^2-12m+1}{\mathrm{-3}m}$

$\frac{105y^5+50y^3-5y}{5y^3}$

$\left(k^2-2k-99\right)÷\left(k+9\right)$

$\left(v^2-16v+64\right)÷\left(v-8\right)$

$\left(3x^2-8x-35\right)÷\left(x-5\right)$

$\left(n^2-3n-14\right)÷\left(n+3\right)$

$\left(4m^3+m-5\right)÷\left(m-1\right)$

$\left(u^3-8\right)÷\left(u-2\right)$

$9^{\mathrm{-2}}$

${\left(\mathrm{-5}\right)}^{\mathrm{-3}}$

$3·4^{\mathrm{-3}}$

${\left(6u\right)}^{\mathrm{-3}}$

${\left(\frac{2}{5}\right)}^{\mathrm{-1}}$

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

$p^{\mathrm{-2}}·p^8$

$q^{\mathrm{-6}}·q^{\mathrm{-5}}$

$\left(c^{\mathrm{-2}}d\right)\left(c^{\mathrm{-3}}{d}^{\mathrm{-2}}\right)$

${\left(y^8\right)}^{\mathrm{-1}}$

${\left(q^{\mathrm{-4}}\right)}^{\mathrm{-3}}$

$\frac{a^8}{a^{12}}$

$\frac{n^5}{n^{\mathrm{-4}}}$

$\frac{r^{\mathrm{-2}}}{r^{\mathrm{-3}}}$

8,500,000

0.00429

The thickness of a dime is about 0.053 inches.

In 2015, the population of the world was about 7,200,000,000 people.

$3.8\times {10}^5$

$1.5\times {10}^{10}$

$9.1\times {10}^{\mathrm{-7}}$

$5.5\times {10}^{\mathrm{-1}}$

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

$\left(3.5\times {10}^{\mathrm{-2}}\right)\left(6.2\times {10}^{\mathrm{-1}}\right)$

$\frac{8\times {10}^5}{4\times {10}^{\mathrm{-1}}}$

$\frac{9\times {10}^{\mathrm{-5}}}{3\times {10}^2}$

For the polynomial $10x^4+9y^2-1$
ⓐ Is it a monomial, binomial, or trinomial?
ⓑ What is its degree?

$\left(12a^2-7a+4\right)+\left(3a^2+8a-10\right)$

$\left(9p^2-5p+1\right)-\left(2p^2-6\right)$

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

$u·u^4$

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

$\left(\mathrm{-9}{r}^4{s}^5\right)\left(4r{s}^7\right)$

$3k\left(k^2-7k+13\right)$

$\left(m+6\right)\left(m+12\right)$

$\left(v-9\right)\left(9v-5\right)$

$\left(4c-11\right)\left(3c-8\right)$

$\left(n-6\right)\left(n^2-5n+4\right)$

$\left(2x-15y\right)\left(5x+7y\right)$

$\left(7p-5\right)\left(7p+5\right)$

${\left(9v-2\right)}^2$

$\frac{3^8}{3^{10}}$

${\left(\frac{m^4·m}{m^3}\right)}^6$

${\left(87x^{15}{y}^3{z}^{22}\right)}^0$

$\frac{80c^8{d}^2}{16c{d}^{10}}$

$\frac{12x^2+42x-6}{2x}$

$\left(70x{y}^4+95x^{3}y\right)÷5xy$

$\frac{64x^3-1}{4x-1}$

$\left(y^2-5y-18\right)÷(y+3)$

$5^{\mathrm{-2}}$

${\left(4m\right)}^{\mathrm{-3}}$

$q^{\mathrm{-4}}·q^{\mathrm{-5}}$

$\frac{n^{\mathrm{-2}}}{n^{\mathrm{-10}}}$

Convert 83,000,000 to scientific notation.

Convert $6.91\times {10}^{\mathrm{-5}}$ to decimal form.

$\left(3.4\times {10}^9\right)\left(2.2\times {10}^{\mathrm{-5}}\right)$

$\frac{8.4\times {10}^{\mathrm{-3}}}{4\times {10}^3}$

A helicopter flying at an altitude of 1000 feet drops a rescue package. The polynomial $\mathrm{-16}{t}^2+1000$ gives the height of the package $t$ seconds a after it was dropped. Find the height when $t=6$ seconds.