##### Notes

This printable supports Common Core Math Standard HSN-RN.A.1

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## Rational Exponents

1.
What is $(3a^2)^3(4a^3)^0$ simplified?

2.
Express each of the following with fractional exponents.

a. $root3(25^2)$

b. $sqrt35$

3.
What is the exact value of each of the following radicals?

a.$(2 3/4)^4$

b. $((3^3)(3^2))^3$

c. $(4/20)^3$

d. $sqrt(a^4b^6)$

e. $root3(a^3)$

f. $sqrt25$

4.
Which of the following is the simplified version of $(6x^2-4x^5+2x^3)^3/(2x^4)$
1. $(6x^6-4x^15+2x^9)/(2x^4)$
2. $108x^2-32x^11+4x^5$
3. $(6x^5-4x^8+2x^6)/(2x^4)$
4. $108x-32x^4+4x^2$
5.
Express with positive exponents:

$root(4)(x^3)$

$root(5)(x^-2)$

$(2root(3)(x^(2/3)))^4$

6.
Express the following expression in simplest radical form using only one radical sign.

$9^(1/2)*x^(3/2)*y^(5/4)$

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