Basic Math Examples

{(- 3 \cdot 10^{10})}^{3}

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

Step 1

Apply the product rule to

- 3 \cdot 10^{10}

$- 3 \cdot 10^{10}$ .

{(- 3)}^{3} \cdot {(10^{10})}^{3}

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

Step 2

Raise

- 3

$- 3$ to the power of

3

$3$ .

- 27 \cdot {(10^{10})}^{3}

$- 27 \cdot {(10^{10})}^{3}$

Step 3

Multiply the exponents in

{(10^{10})}^{3}

${(10^{10})}^{3}$ .

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Step 3.1

Apply the power rule and multiply exponents,

{(a^{m})}^{n} = a^{m n}

${(a^{m})}^{n} = a^{m n}$ .

- 27 \cdot 10^{10 \cdot 3}

$- 27 \cdot 10^{10 \cdot 3}$

Step 3.2

Multiply

10

$10$ by

3

$3$ .

- 27 \cdot 10^{30}

$- 27 \cdot 10^{30}$

- 27 \cdot 10^{30}

$- 27 \cdot 10^{30}$

Step 4

Move the decimal point in

- 27

$- 27$ to the left by

1

$1$ place and increase the power of

10^{30}

$10^{30}$ by

1

$1$ .

- 2.7 \cdot 10^{31}

$- 2.7 \cdot 10^{31}$

[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$