Basic Math Examples

$5^{56} \cdot 5^{22} \cdot 5^{- 96}$

Step 1

Multiply $5^{56}$ by $5^{22}$ 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.

$5^{56 + 22} \cdot 5^{- 96}$

Step 1.2

Add $56$ and $22$ .

$5^{78} \cdot 5^{- 96}$

Step 2

Multiply $5^{78}$ by $5^{- 96}$ 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.

$5^{78 - 96}$

Step 2.2

Subtract $96$ from $78$ .

$5^{- 18}$

Step 3

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

$\frac{1}{5^{18}}$

Step 4

Raise $5$ to the power of $18$ .

$\frac{1}{3814697265625}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3814697265625}$

Decimal Form:

$2.62144 \cdot 10^{- 13}$