Basic Math Examples

${0.3}^{- 10} \cdot {0.3}^{2}$

Step 1

Multiply ${0.3}^{- 10}$ by ${0.3}^{2}$ 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.

${0.3}^{- 10 + 2}$

Step 1.2

Add $- 10$ and $2$ .

${0.3}^{- 8}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{0.3}^{8}}$

Step 3

Raise $0.3$ to the power of $8$ .

$\frac{1}{0.00006561}$

Step 4

Divide $1$ by $0.00006561$ .

$15241.57902758$