Basic Math Examples

${(- 2^{7} y^{- 6})}^{3}$

Step 1

Raise $2$ to the power of $7$ .

${(- 1 \cdot 128 y^{- 6})}^{3}$

Step 2

Multiply $- 1$ by $128$ .

${(- 128 y^{- 6})}^{3}$

Step 3

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

${(- 128 \frac{1}{y^{6}})}^{3}$

Step 4

Combine $- 128$ and $\frac{1}{y^{6}}$ .

${(\frac{- 128}{y^{6}})}^{3}$

Step 5

Move the negative in front of the fraction.

${(- \frac{128}{y^{6}})}^{3}$

Step 6

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 6.1

Apply the product rule to $- \frac{128}{y^{6}}$ .

${(- 1)}^{3} {(\frac{128}{y^{6}})}^{3}$

Step 6.2

Apply the product rule to $\frac{128}{y^{6}}$ .

${(- 1)}^{3} \frac{128^{3}}{{(y^{6})}^{3}}$

Step 7

Raise $- 1$ to the power of $3$ .

$- \frac{128^{3}}{{(y^{6})}^{3}}$

Step 8

Raise $128$ to the power of $3$ .

$- \frac{2097152}{{(y^{6})}^{3}}$

Step 9

Multiply the exponents in ${(y^{6})}^{3}$ .

Tap for more steps...

Step 9.1

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

$- \frac{2097152}{y^{6 \cdot 3}}$

Step 9.2

Multiply $6$ by $3$ .

$- \frac{2097152}{y^{18}}$