Algebra Examples

${(p^{2} x^{3} p^{4})}^{3}$

Step 1

Multiply $p^{2}$ by $p^{4}$ by adding the exponents.

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Step 1.1

Move $p^{4}$ .

${(p^{4} p^{2} x^{3})}^{3}$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

${(p^{4 + 2} x^{3})}^{3}$

Step 1.3

Add $4$ and $2$ .

${(p^{6} x^{3})}^{3}$

Step 2

Apply the product rule to $p^{6} x^{3}$ .

${(p^{6})}^{3} {(x^{3})}^{3}$

Step 3

Multiply the exponents in ${(p^{6})}^{3}$ .

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Step 3.1

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

$p^{6 \cdot 3} {(x^{3})}^{3}$

Step 3.2

Multiply $6$ by $3$ .

$p^{18} {(x^{3})}^{3}$

Step 4

Multiply the exponents in ${(x^{3})}^{3}$ .

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Step 4.1

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

$p^{18} x^{3 \cdot 3}$

Step 4.2

Multiply $3$ by $3$ .

$p^{18} x^{9}$