Basic Math Examples

$\frac{{(y^{5})}^{5}}{{(y^{9})}^{7}}$

Step 1

Apply basic rules of exponents.

Tap for more steps...

Step 1.1

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

Tap for more steps...

Step 1.1.1

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

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

Step 1.1.2

Multiply $5$ by $5$ .

$\frac{y^{25}}{{(y^{9})}^{7}}$

Step 1.2

Multiply the exponents in ${(y^{9})}^{7}$ .

Tap for more steps...

Step 1.2.1

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

$\frac{y^{25}}{y^{9 \cdot 7}}$

Step 1.2.2

Multiply $9$ by $7$ .

$\frac{y^{25}}{y^{63}}$

Step 2

Cancel the common factor of $y^{25}$ and $y^{63}$ .

Tap for more steps...

Step 2.1

Multiply by $1$ .

$\frac{y^{25} \cdot 1}{y^{63}}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $y^{25}$ out of $y^{63}$ .

$\frac{y^{25} \cdot 1}{y^{25} y^{38}}$

Step 2.2.2

Cancel the common factor.

$\frac{y^{25} \cdot 1}{y^{25} y^{38}}$

Step 2.2.3

Rewrite the expression.

$\frac{1}{y^{38}}$