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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.
$4x^2*6x^3$
1. $10x^5$
2. $24x^5$
3. $24x^6$
4. $10x^6$
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. $9x^5y^6$
Express the following in simplest radical form using only one radical sign.
$27^(1/3)*x^(4/5)*y^(2/5)*z^(1/5)$
1. $3root5(x^4y^2z)$
2. $27root15(x^4y^2z)$
3. $root5(3x^4y^2z)$
4. $1/(3root5(x^4y^2z))$
Simplify: $x^(2/3) (x^(1/4) )$
1. $x^(1/6)$
2. $x^(3/7)$
3. $x^(1/8)$
4. $x^(11/12)$
5. none of these are correct
An oval is $1/2 root(5)(x^2y^3)$ meters long. If a Kara completes $5 root(3)(x^2y)$ laps, how many meters has she run? Give your answer in simplified radicals.
1. $5/2x root(15)(xy^14)$
2. $5/2x root(3)(xy^14)$
3. $5 root(3)(xy^30)$
4. $2x root(15)(xy^14)$
Simplify: $(2(x^(-1) y^4 )^(2) (xy)^-1)/((2x)^3 y^(-4) )$
1. $(y^11)/(2x^6)$
2. $(2y^10)/(3x^7 )$
3. $x/2$
4. $(x^6)/(2y^4)$
5. none of these are correct
Which expression is equivalent to $(5^-2a^3b^-4)^-1$ ?
1. $(10b^4)/a^3$
2. $(25b^4)/a^3$
3. $(a^3)/(25b^4$
4. $(a^2)/(125b^5)$
Fully simplify the following: $(x^(6))^2 * x^(-2)$
1. $x^6$
2. $x^12 x^-2$
3. $x^10$
4. $x^(-6)$
Evaluate the following expression: $49^(-3/2)$
1. $-7$
2. $1/343$
3. $-343$
4. $1/7$
5. none of these are correct
What is the ratio of $3 root(3)(x^2) sqrt(y^3)$ to $4 sqrt(x^3) root(3)(y^2)$ in the form __:1? Your answer should be in the form of a radical.
1. $3y^(5/6):4x^(5/6)$
2. $(3y^(5/6))/(4x^(5/6)):1$
3. $(3root(6)(y^5))/(4root(6)(x^5)):1$
4. $3root(6)(y^5):4root(6)(x^5)$
Simplify.

$(343x^6)^(1/3)$
1. $21x^6$
2. $7x^2$
3. $14x^2$
4. $7x^3$
Solve.
$8^(2x)=4^(x-1)$
1. $x=1/2$
2. $x=2/3$
3. $x=3/5$
4. $x=-1/2$
$(16x^4)^(3/2)$
1. $64x^6$
2. $4x^6$
3. $64x^10$
4. $4x^10$