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

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

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Simplify the radical expression. $root3{:27x^4y^5$
1. $3xyroot3{:xy^2$
2. $5xyroot3{:xy^2$
3. $3xyroot3{:xy$
4. $3xy^2sqrtx$
Simplify the radical expression $sqrt(28)$.
1. $7sqrt(2)$
2. $4sqrt(7)$
3. $2sqrt(7)$
4. $4sqrt(2)$
Simplify. $sqrt360$
1. $3sqrt40$
2. $9sqrt20$
3. $12sqrt10$
4. $6sqrt10$
Simplify.
$sqrt50$
1. $25$
2. $sqrt10 sqrt5$
3. $sqrt2 sqrt5$
4. $5sqrt2$
Express using radicals and integer exponents.

$( (2x)^(2/3) * (4xy)^(5/3) )^(1/3)$
1. $16 root{3}{2x^7 y^5}$
2. $2 root{9}{8x^7 y^5}$
3. $2 root{9}{16 x^5 y^5}$
4. $4 root{6}{ x^7 y^5}$
Simplify. $root3(27x^10)$
1. $27x^10$
2. $root3(27x^10)$
3. $3root3(x^10)$
4. $(3x^3)root3x$
Simplify the radical expression. $sqrt{:15x^3) * sqrt{:15x^5$
1. $sqrt{:15x^4$
2. $15x^4$
3. $x^4sqrt30$
4. $sqrt{:225x^8$
Simplify radical expression $sqrt(72)$.
1. $3sqrt(2)$
2. $4sqrt(18)$
3. $2sqrt(6)$
4. $6sqrt(2)$
Evaluate. $(1/27)^(-2/3)$
1. -3
2. 9
3. $1/3$
4. $-1/9$
Simplify.
$root3 24$
1. $4root3 6$
2. $3root3 4$
3. $2root3 3$
4. $6root3 2$
$root{3}{54 x^16 y^(-12)}$
1. $(3^(3/2) \ 2^(1/2) \ x^8 ) / (y^6)$
2. $( 3x^5 \ (2x)^(1/3) ) / (y^4)$
3. $(3 \ 2^(1/3) y^4) / (x^(16/3) )$
4. $3x^5y^4 (2x)^(1/3)$