Algebra Examples

${(2^{2} y^{5})}^{- 3}$

Step 1

Raise $2$ to the power of $2$ .

${(4 y^{5})}^{- 3}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(4 y^{5})}^{3}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Apply the product rule to $4 y^{5}$ .

$\frac{1}{4^{3} {(y^{5})}^{3}}$

Step 3.2

Raise $4$ to the power of $3$ .

$\frac{1}{64 {(y^{5})}^{3}}$

Step 3.3

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

Tap for more steps...

Step 3.3.1

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

$\frac{1}{64 y^{5 \cdot 3}}$

Step 3.3.2

Multiply $5$ by $3$ .

$\frac{1}{64 y^{15}}$