1003032202 Level: BWriting the expression \( \frac{(4x)^2\cdot(x:y)^{-2}}{(0.5)^{-4}\cdot y^{-1}}\), \( x\neq0\), \( y\neq0 \) in a simplified form, we will get:\( y^3 \)\( \frac12y^{-1} \)\( 8y^3 \)\( 256y^{-1} \)
1003032201 Level: BLet \( a=\left(\frac23\right)^{\sqrt7-\sqrt3} \) and \( b=\left(\frac23\right)^{\sqrt3+2} \). Which of the following relations is true for \( a \) and \( b \)?\( a>b \)\( b>a \)\( a=b \)\( a\cdot b=\left(\frac23\right)^{2\sqrt7} \)
1003099211 Level: AWrite the fraction \(\frac{2- \sqrt3}{2\sqrt3} \) in an equivalent form which does not contain a radical in the denominator.\( \frac{2\sqrt3-3}6 \)\( 0 \)\( 1 \)\( \frac{2\sqrt3-3}3 \)
1003099210 Level: AWrite the fraction \( \frac{\sqrt[3]2}{\sqrt[3]3}\) in an equivalent form which does not contain a radical in the denominator.\( \frac{\sqrt[3]{18}}3 \)\( \frac{\sqrt[3]6}3 \)\( \frac23 \)\( \sqrt[3]6 \)
1003099209 Level: ARationalize the denominator of \( \frac1{\sqrt[3]2} \).\( 0.5\sqrt[3]4 \)\( 0.5 \)\( 0.5\sqrt[3]2 \)\( 0.5\sqrt2 \)
1003099208 Level: ARationalize the denominator of \( \frac{2+\sqrt{2}}{\sqrt 2} \).\( \sqrt 2 +1 \)\( 2 \)\( 2\sqrt2 \)\( 2\sqrt2 +1 \)
1003099207 Level: ARationalize the denominator of \( \frac5{\sqrt 2} \).\( 2.5\sqrt2 \)\( 2.5 \)\( \frac54\sqrt 2 \)\( 5\sqrt2 \)
1003118608 Level: BExpress the value of the expression \( \left(\frac23-2^{-2}\right)^{-1} \) as a decimal number.\( 2.4 \)\( 0.41\overline6\dots\)\( \frac{12}5 \)\( -1.\overline3 \)
1003118607 Level: BWhich of the following numbers are ordered from least to greatest?\( (0.3)^4 \), \( 0.027 \), \( (0.3)^{\sqrt2} \)\( 81^{\frac34} \), \( 16^{\frac14} \), \( 7^{-2} \)\( \left(\frac23 \right)^{1.4} \), \( \left(\frac23 \right)^{\pi} \), \( \left(\frac32 \right)^{-1} \)\( 7^0 \), \( 7^{-1} \), \( 7^{-2} \)