Tweet # Common Core Standard HSN-RN.A.2 Questions

Rewrite expressions involving radicals and rational exponents using the properties of exponents.

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$root3(16)+root3(32x^3)+root3(54p^8)+root3(40)$
1. $2root3(2)+2xroot3(4)+3p^2root3(2p^2)+2root3(5)$
2. $2xroot3(4)+5p^2root3(2)+2root3(5)$
3. $2root3(2)+2xroot3(4)+3p^2root3(2)+2root3(5)$
4. $root3(16)+root3(32x^3)+root3(54p^8)+root3(40)$
Multiply. $sqrt(33p)sqrt(6p)$
1. $sqrt(198p^2)$
2. $3psqrt22$
3. $3sqrt(22p)$
4. $9p^2sqrt(22)$
Simplify the radical expression. $root5 {:m^15n^50$
1. $m^10n^3$
2. $m^3n^10$
3. $m^-3n^-10$
4. $m^-10n^-3$
Simplify.

$(16x^4)^(3/2)$
1. $64x^6$
2. $4x^6$
3. $64x^10$
4. $4x^10$
Simplify: $(sqrt(4x))/(2root(x))$
1. $x^(3/2)$
2. $x^(1/6)$
3. $1$
4. $1/x$
5. none of these are correct
Simplify. Assume that $y$ is positive. $(49y^(-4/3))^(-1/2)$
1. $y^(2/3) / 7$
2. $7 y^(2/3)$
3. $7/y^(11/6)$
4. $7/y^(8/3)$
Simplify the radical expression. $3root3 {:135x^90y^120$
1. $9x^40y^30root3 5$
2. $5x^30y^40root3 9$
3. $9x^30y^40root3 5$
4. $5x^40y^30root3 9$
Simplify completely. $sqrt(5a) +4sqrt(80a) + 5sqrt(180a)$
1. $47sqrt(265a)$
2. $47sqrt(5a)$
3. $9sqrt(5a)$
4. $9sqrt(265a)$
Simplify. Assume $x$ is positive.

$(343x^6)^(1/3)$
1. $21x^6$
2. $7x^2$
3. $14x^2$
4. $7x^3$
Simplify the following expression. $sqrt(125x^3)$
1. $5x$
2. $5x^3$
3. $5xsqrt(5x)$
4. $25sqrt(5x^3)$
5. none of these are correct
Simplify. Assume that $x$ is positive. $(( x^(1/2) \ x^(-5/4) ) / (x^(3/4)) ) ^(4/3)$
1. $1/x^6$
2. $1$
3. $x^(4/3)$
4. $1/x^2$  