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You can create printable tests and worksheets from these Grade 10 Exponents questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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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. $1/x^2$
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
Simplify. Assume $m$ and $n$ are positive. $( m^(5/6) \ n^(3/2) ) / ( m^(4/7) \ n^(9/2))$
1. $( m^(35/ 24) ) / ( n^(1/3) )$
2. $m^(59/42) / n^6$
3. $(m^(11/42) ) / n^3$
4. $m^(-10/21) n^(-27/4)$
Simplify. Assume $a$ and $b$ are positive. $a^(4/3) \ (a^(-1/2) b^(9/5))^(3/4)$
1. $a^(47/15) / b^(27/20)$
2. $a^(19/12) \ b^(51/20)$
3. $a^(5/8) \ b^(27/20)$
4. $a ^(23/24) b^(27/20)$
Simplify. Assume $b$ is positive. $( b^(1/4) \ b^(5/4))^(2/3)$
1. $b^(13/6)$
2. $b^(5/24)$
3. $b$
4. $4^(1/3) b$
Simplify.
$4x^2*6x^3$
1. $10x^5$
2. $24x^5$
3. $24x^6$
4. $10x^6$
Simplify. Assume $x$ is positive.

$(343x^6)^(1/3)$
1. $21x^6$
2. $7x^2$
3. $14x^2$
4. $7x^3$
Simplify. Assume $x >0$. $root{3}{16x^5} / sqrt(36 x^8)$
1. $2/(3sqrt(x^3)$
2. $root{3}{2x^2} / (3x^3)$
3. $root{3}{4/9} \ x^(-1)$
4. $root{3}{16} / (6x^4)$
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. $7/y^(8/3)$
Evaluate the following expression. $49^(-3/2)$
1. $-7$
2. $1/343$
3. $-343$
4. $1/7$
5. none of these are correct
Express the following in simplest radical form using only one radical sign.

$9^(1/2)*x^(3/2)*y^(5/4)$
1. $9sqrt(x^3y^(5/2))$
2. $3sqrt(x^3y^(5))$
3. $3sqrt(x^3y^(5/2))$
4. $sqrt(9x^3y^(5))$
$(3x^2y^3)^3$
1. $27x^6y^9$
2. $27x^5y^6$
3. $9x^6y^4$
4. $9x^5y^6$
$27^(1/3)*x^(4/5)*y^(2/5)*z^(1/5)$
1. $3root5(x^4y^2z)$
2. $27root15(x^4y^2z)$
3. $root5(3x^4y^2z)$
4. $1/(3root5(x^4y^2z))$