Simplify (4y^5)/(4x^-2y^0)

$\frac{4 y^{5}}{4 x^{- 2} y^{0}}$

Step 1

Move $y^{0}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{4 y^{5} y^{0}}{4 x^{- 2}}$

Step 2

Move $x^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{4 y^{5} y^{0} x^{2}}{4}$

Step 3

Multiply $y^{5}$ by $y^{0}$ by adding the exponents.

Move $y^{0}$ .

$\frac{4 (y^{0} y^{5}) x^{2}}{4}$

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

$\frac{4 y^{0 + 5} x^{2}}{4}$

Add $0$ and $5$ .

$\frac{4 y^{5} x^{2}}{4}$

Step 4

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y^{5} x^{2}}{4}$

Divide $y^{5} x^{2}$ by $1$ .

$y^{5} x^{2}$