Basic Math Examples

${(5^{3})}^{5} \div 5^{15}$

Step 1

Rewrite the division as a fraction.

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

Step 2

Simplify the numerator.

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Step 2.1

Multiply the exponents in ${(5^{3})}^{5}$ .

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Step 2.1.1

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

$\frac{5^{3 \cdot 5}}{5^{15}}$

Step 2.1.2

Multiply $3$ by $5$ .

$\frac{5^{15}}{5^{15}}$

Step 2.2

Raise $5$ to the power of $15$ .

$\frac{30517578125}{5^{15}}$

Step 3

Simplify the expression.

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Step 3.1

Raise $5$ to the power of $15$ .

$\frac{30517578125}{30517578125}$

Step 3.2

Divide $30517578125$ by $30517578125$ .

$1$