Evaluate ((10^15)/(10^5))^3

${(\frac{10^{15}}{10^{5}})}^{3}$

Step 1

Cancel the common factor of $10^{15}$ and $10^{5}$ .

Factor $10^{5}$ out of $10^{15}$ .

${(\frac{10^{5} \cdot 10^{10}}{10^{5}})}^{3}$

Cancel the common factors.

Multiply by $1$ .

${(\frac{10^{5} \cdot 10^{10}}{10^{5} \cdot 1})}^{3}$

Cancel the common factor.

${(\frac{10^{5} \cdot 10^{10}}{10^{5} \cdot 1})}^{3}$

Rewrite the expression.

${(\frac{10^{10}}{1})}^{3}$

Divide $10^{10}$ by $1$ .

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

Step 2

Multiply the exponents in ${(10^{10})}^{3}$ .

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

$10^{10 \cdot 3}$

Multiply $10$ by $3$ .

$10^{30}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10^{30}$

Decimal Form:

$1 \cdot 10^{30}$