Algebra Examples

${({2.71}^{3})}^{2} {(2.71)}^{- 5}$

Step 1

Multiply the exponents in ${({2.71}^{3})}^{2}$ .

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Step 1.1

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

${2.71}^{3 \cdot 2} {(2.71)}^{- 5}$

Step 1.2

Multiply $3$ by $2$ .

${2.71}^{6} {(2.71)}^{- 5}$

Step 2

Multiply ${2.71}^{6}$ by ${(2.71)}^{- 5}$ by adding the exponents.

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Step 2.1

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

${2.71}^{6 - 5}$

Step 2.2

Subtract $5$ from $6$ .

${2.71}^{1}$

Step 3

Simplify ${2.71}^{1}$ .

$2.71$