Precalculus Examples

${(5 x^{2} z^{6})}^{3} {(5 x^{2} z^{6})}^{- 3}$

Step 1

Multiply ${(5 x^{2} z^{6})}^{3}$ by ${(5 x^{2} z^{6})}^{- 3}$ by adding the exponents.

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Step 1.1

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

${(5 x^{2} z^{6})}^{3 - 3}$

Step 1.2

Subtract $3$ from $3$ .

${(5 x^{2} z^{6})}^{0}$

Step 2

Simplify ${(5 x^{2} z^{6})}^{0}$ .

$1$