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# Exponents Questions - All Grades

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Express with positive rational exponents.

$root{3}{54 x^16 y^(-12)}$
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. $3x^5y^4 (2x)^(1/3)$
Which of the following is a correct way to rewrite the expression $4^(-5/3)$ ? Choose all that apply.
1. $root(3)(4^(-5))$
2. $-root(3)(4^5)$
3. $1 / (root(3)(4^5))$
4. $(root(3)(4))^(-5)$
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 the following expression.

$(-2)^3 * (-2)^1 * (-2)^2 * (-2)^6$
1. $-2^12$
2. $(-2)^12$
3. $-2^36$
4. $(-2)^36$
Evaluate.
$3^0 + 12$
1. 15
2. 13
3. 36
4. Impossible to complete
Simplify the following expression (no negative exponents).
$(3x^6y^3)^3$
1. $6x^9y^6$
2. $9x^9y^9$
3. $9x^18y^9$
4. $27x^18y^9$
Which value is equivalent to $5 xx 10^6?$
1. five thousand
2. fifty thousand
3. five million
4. fifty million
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. $1/x^2$
$6^15/6^3$
1. $1/6^12$
2. $1/6^18$
3. $6^5$
4. $6^12$
Write 6 x 6 x 6 x 6 x 6 in exponential form.
1. $5^6$
2. $6^6$
3. $6^5$
4. $6^4$
Which one of the following is true?
1. $4^-2 < 4^-3$
2. $5^-2 > 2 ^ -5$
3. $(-2)^4 = 2^-4$
4. $5^2(5)^-2>2^5(2)^-5$
Simplify: $4x^3 * x^3$
1. $x^6$
2. $4x^6$
3. $4^6$
4. $4x^9$
How do you write 2 x 2 x 2 x 2 with an exponent?
1. $4^2$
2. $2^4$
3. $2^2$
Simplify: $x^(2/3) (x^(1/4) )$. Assume $x$ is positive.
1. $x^(1/6)$
2. $x^(3/7)$
3. $x^(1/8)$
4. $x^(11/12)$
5. None of these are correct
$4^16$ multiplied by $4^20$
1. $4^36$
2. $4^16$
3. $4^320$