Basic Math Examples

${(20^{3})}^{6} = 20 a$

Step 1

Rewrite the equation as $20 a = {(20^{3})}^{6}$ .

$20 a = {(20^{3})}^{6}$

Step 2

Divide each term in $20 a = {(20^{3})}^{6}$ by $20$ and simplify.

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Step 2.1

Divide each term in $20 a = {(20^{3})}^{6}$ by $20$ .

$\frac{20 a}{20} = \frac{{(20^{3})}^{6}}{20}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $20$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{20 a}{20} = \frac{{(20^{3})}^{6}}{20}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{{(20^{3})}^{6}}{20}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify the numerator.

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Step 2.3.1.1

Multiply the exponents in ${(20^{3})}^{6}$ .

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Step 2.3.1.1.1

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

$a = \frac{20^{3 \cdot 6}}{20}$

Step 2.3.1.1.2

Multiply $3$ by $6$ .

$a = \frac{20^{18}}{20}$

Step 2.3.1.2

Raise $20$ to the power of $18$ .

$a = \frac{262144000000000000000000}{20}$

Step 2.3.2

Divide $262144000000000000000000$ by $20$ .

$a = 13107200000000000000000$

Step 3

The result can be shown in multiple forms.

Exact Form:

$a = 13107200000000000000000$

Decimal Form:

$a = 1.31072 \cdot 10^{22}$