Basic Math Examples

2^{2} \cdot 2^{- 9}

$2^{2} \cdot 2^{- 9}$

Step 1

Multiply

2^{2}

$2^{2}$ by

2^{- 9}

$2^{- 9}$ by adding the exponents.

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Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

2^{2 - 9}

$2^{2 - 9}$

Step 1.2

Subtract

9

$9$ from

2

$2$ .

2^{- 7}

$2^{- 7}$

2^{- 7}

$2^{- 7}$

Step 2

Rewrite the expression using the negative exponent rule

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{1}{2^{7}}

$\frac{1}{2^{7}}$

Step 3

Raise

2

$2$ to the power of

7

$7$ .

\frac{1}{128}

$\frac{1}{128}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{1}{128}

$\frac{1}{128}$

Decimal Form:

0.0078125

$0.0078125$