Algebra Examples

${(x^{2})}^{\frac{3}{2}} = x^{a}$

Step 1

Rewrite the equation as $x^{a} = {(x^{2})}^{\frac{3}{2}}$ .

$x^{a} = {(x^{2})}^{\frac{3}{2}}$

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$x^{a} = x^{2 (\frac{3}{2})}$

Step 3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$a = 2 (\frac{3}{2})$

Step 4

Cancel the common factor of $2$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$a = 2 (\frac{3}{2})$

Step 4.2

Rewrite the expression.

$a = 3$