Basic Math Examples

${(9.6 \cdot 10^{3})}^{- 4}$

Step 1

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

$\frac{1}{{(9.6 \cdot 10^{3})}^{4}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $9.6 \cdot 10^{3}$ .

$\frac{1}{{9.6}^{4} \cdot {(10^{3})}^{4}}$

Step 2.2

Raise $9.6$ to the power of $4$ .

$\frac{1}{8493.4656 \cdot {(10^{3})}^{4}}$

Step 2.3

Multiply the exponents in ${(10^{3})}^{4}$ .

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Step 2.3.1

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

$\frac{1}{8493.4656 \cdot 10^{3 \cdot 4}}$

Step 2.3.2

Multiply $3$ by $4$ .

$\frac{1}{8493.4656 \cdot 10^{12}}$

Step 2.4

Raise $10$ to the power of $12$ .

$\frac{1}{8493.4656 \cdot 1000000000000}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $8493.4656$ by $1000000000000$ .

$\frac{1}{8493465600000000}$

Step 3.2

Divide $1$ by $8493465600000000$ .

$0$