Algebra Examples

$\frac{2^{2} y^{- 6}}{8^{- 1} z^{0} x^{- 7}}$

Step 1

Simplify the expression.

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Step 1.1

Move $y^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{2^{2}}{8^{- 1} z^{0} x^{- 7} y^{6}}$

Step 1.2

Move $8^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2^{2} \cdot 8}{x^{- 7} y^{6}}$

Step 1.3

Move $x^{- 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2^{2} \cdot 8 x^{7}}{y^{6}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $8$ as $2^{3}$ .

$\frac{2^{2} \cdot 2^{3} x^{7}}{y^{6}}$

Step 2.2

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

$\frac{2^{2 + 3} x^{7}}{y^{6}}$

Step 2.3

Add $2$ and $3$ .

$\frac{2^{5} x^{7}}{y^{6}}$

Step 3

Raise $2$ to the power of $5$ .

$\frac{32 x^{7}}{y^{6}}$