Basic Math Examples

$n^{20} \cdot n = 1500$

Step 1

Multiply $n^{20}$ by $n$ by adding the exponents.

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Step 1.1

Multiply $n^{20}$ by $n$ .

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Step 1.1.1

Raise $n$ to the power of $1$ .

$n^{20} \cdot n^{1} = 1500$

Step 1.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$n^{20 + 1} = 1500$

Step 1.2

Add $20$ and $1$ .

$n^{21} = 1500$

Step 2

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$n = \sqrt[21]{1500}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \sqrt[21]{1500}$

Decimal Form:

$n = 1.41658435 \dots$