Simplify (b^(2/3)b^(2/3))/(-b^(1/3))

$\frac{b^{\frac{2}{3}} b^{\frac{2}{3}}}{- b^{\frac{1}{3}}}$

Step 1

Multiply $b^{\frac{2}{3}}$ by $b^{\frac{2}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{b^{\frac{2}{3} + \frac{2}{3}}}{- b^{\frac{1}{3}}}$

Combine the numerators over the common denominator.

$\frac{b^{\frac{2 + 2}{3}}}{- b^{\frac{1}{3}}}$

Add $2$ and $2$ .

$\frac{b^{\frac{4}{3}}}{- b^{\frac{1}{3}}}$

Step 2

Move $b^{\frac{1}{3}}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$\frac{b^{\frac{4}{3}} b^{- \frac{1}{3}}}{- 1}$

Step 3

Simplify the numerator.

Multiply $b^{\frac{4}{3}}$ by $b^{- \frac{1}{3}}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{b^{\frac{4}{3} - \frac{1}{3}}}{- 1}$

Combine the numerators over the common denominator.

$\frac{b^{\frac{4 - 1}{3}}}{- 1}$

Subtract $1$ from $4$ .

$\frac{b^{\frac{3}{3}}}{- 1}$

Divide $3$ by $3$ .

$\frac{b^{1}}{- 1}$

Simplify $b^{1}$ .

$\frac{b}{- 1}$

Step 4

Move the negative one from the denominator of $\frac{b}{- 1}$ .

$- 1 \cdot b$

Step 5

Rewrite $- 1 \cdot b$ as $- b$ .

$- b$