Algebra Examples

$g (p) = 4^{x}$ , $x = \frac{3}{2}$

Step 1

Replace the variable $x$ with $\frac{3}{2}$ in the expression.

$g (p) = 4^{\frac{3}{2}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the expression.

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Step 2.1.1

Rewrite $4$ as $2^{2}$ .

$g (p) = {(2^{2})}^{\frac{3}{2}}$

Step 2.1.2

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

$g (p) = 2^{2 (\frac{3}{2})}$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Cancel the common factor.

$g (p) = 2^{2 (\frac{3}{2})}$

Step 2.2.2

Rewrite the expression.

$g (p) = 2^{3}$

Step 2.3

Raise $2$ to the power of $3$ .

$g (p) = 8$

Step 2.4

The final answer is $8$ .

$8$

Step 3