Æfingapróf

Fyrir margliðuna $10x^4+9y^2-1$
ⓐ Er hún einliður, tvíliður eða þríliður?
ⓑ Hvert er stig hennar?

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

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

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

$u·u^4$

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

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

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

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

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

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

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

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

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

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

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

${\left(\frac{m^4·m}{m^3}\right)}^6$

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

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

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

$\left(70x{y}^4+95x^{3}y\right)÷5xy$

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

$\left(y^2-5y-18\right)÷(y+3)$

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

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

$q^{\mathrm{-4}}·q^{\mathrm{-5}}$

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

Breytið 83.000.000 í staðalform.

Breytið $6.91\times {10}^{\mathrm{-5}}$ í tugabrotsrithátt.

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

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

Þyrla flýgur í 1.000 feta hæð og sleppir björgunarpakka. Margliðan $\mathrm{-16}{t}^2+1000$ gefur hæð pakkans $t$ sekúndum eftir að honum er sleppt. Finnið hæðina eftir $t=6$ sekúndur.