Basic Math Examples

$\frac{7^{9} \cdot 7^{9}}{{(7^{3})}^{5}}$

Step 1

Multiply $7^{9}$ by $7^{9}$ 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.

$\frac{7^{9 + 9}}{{(7^{3})}^{5}}$

Step 1.2

Add $9$ and $9$ .

$\frac{7^{18}}{{(7^{3})}^{5}}$

Step 2

Raise $7$ to the power of $18$ .

$\frac{1628413597910450}{{(7^{3})}^{5}}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply the exponents in ${(7^{3})}^{5}$ .

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Step 3.1.1

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

$\frac{1628413597910450}{7^{3 \cdot 5}}$

Step 3.1.2

Multiply $3$ by $5$ .

$\frac{1628413597910450}{7^{15}}$

Step 3.2

Raise $7$ to the power of $15$ .

$\frac{1628413597910450}{4747561509943}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1628413597910450}{4747561509943}$

Decimal Form:

$343$