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Power Equations $x^n=k$

Review of Exponents

Complete this review of positive exponents.

How many questions were there in the review?

Solve for $x$.

If there are 2 solutions, separate them with a comma or use the $\pm$ symbol.
If there are no solutions, type “no solutions”.

$x^2=-100 \qquad x=$

$x^4=0 \qquad x=$

$x^4=16 \qquad x=$

$x^5=32 \qquad x=$

$x^2=-49 \qquad x=$

$x^2=64 \qquad x=$

$x^3=-\frac{1}{8} \qquad x=$

$x^3=-343 \qquad x=$

$x^3=-1 \qquad x=$

$x^2=25 \qquad x=$

$x^5=-32 \qquad x=$

$x^3=125 \qquad x=$

$x^7=-10000000 \qquad x=$

$x^2=-4 \qquad x=$

$x^2=-36 \qquad x=$

$x^4=625 \qquad x=$

$x^2=9 \qquad x=$

$x^6=-1000000 \qquad x=$

$x^3=27 \qquad x=$

$x^4=-256 \qquad x=$

$x^4=-1 \qquad x=$

$x^3=-64 \qquad x=$

$x^2=81 \qquad x=$

$x^4=81 \qquad x=$

$x^3=216 \qquad x=$

$x^3=1000 \qquad x=$

Solve for $x$ giving exact answers.

If there are 2 solutions, separate them with a comma or use the $\pm$ symbol.
If there are no solutions, type "no solutions".

$x^2=5 \qquad x=$
$x^2=11 \qquad x=$

$x^2=-7 \qquad x=$
$x^2=-2 \qquad x=$

$x^3=7 \qquad x=$
$\sqrt{7}$
$x^3=-7 \qquad x=$
$-$ $\sqrt{7}$

$x^4=8 \qquad x=$
$\sqrt{8}$
$x^4=-8 \qquad x=$

Solve for $𝑥$ giving exact answers.

If there are 2 solutions, separate them with a comma or use the $\pm$ symbol.
If there are no solutions, type “no solutions”.

$\left(x-1\right)^2=5 \qquad x=$

$\left(x-4\right)^2=11 \qquad x=$

$\left(x+3\right)^2=-7 \qquad x=$

$\left(x+1\right)^2=2 \qquad x=$

$\left(x-2\right)^2=9 \qquad x=$

$\left(x+6\right)^2=81 \qquad x=$

$3\left(x+4\right)^2=15 \qquad x=$

$\left(-6+\frac{1}{2}x\right)^2=4 \qquad x=$

Review of Exponents

Complete this review of zero and negative exponents.

How many questions were there in the review?

Solve for $x$.

If there are 2 solutions, separate them with a comma or use the $\pm$ symbol.
If there are no solutions, type “no solutions”.
If your answer is not an integer, give your answer as a fraction.

$x^{-1}=\frac{1}{2} \qquad x=$

$x^{-2}=\frac{1}{36} \qquad x=$

$x^{-2}=16 \qquad x=$

$x^{-2}=-\frac{1}{4} \qquad x=$

$x^{-3}=-125 \qquad x=$

$x^{-3}=\frac{27}{8} \qquad x=$

$x^{-4}=-\frac{1}{256} \qquad x=$

$x^{-4}=81 \qquad x=$

$x^{-5}=100000 \qquad x=$

$x^{-6}=1 \qquad x=$