Algebra Examples

Simplify ${(- 5 p^{3})}^{3}$

Step 1

Apply the product rule to $- 5 p^{3}$ .

${(- 5)}^{3} {(p^{3})}^{3}$

Step 2

Raise $- 5$ to the power of $3$ .

$- 125 {(p^{3})}^{3}$

Step 3

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

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Step 3.1

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

$- 125 p^{3 \cdot 3}$

Step 3.2

Multiply $3$ by $3$ .

$- 125 p^{9}$