simplify 4^{-n}*3^n

Solution

simplify

4^{- n} \cdot 3^{n}

\frac{3 ^{n}}{4 ^{n}}

Solution steps

4^{- n} \cdot 3^{n}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

4^{- n} = \frac{1}{4 ^{n}}

= \frac{1}{4 ^{n}} \cdot 3^{n}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 3 ^{n}}{4 ^{n}}

Apply rule:

1 \cdot a = a

1 \cdot 3^{n} = 3^{n}

= \frac{3 ^{n}}{4 ^{n}}

9 x^{- 4} \cdot y^{6}

\frac{3}{2 \cdot x}

\frac{( - 30 x ^{10} + 15 x ^{13} )}{( 3 x ^{2} )}

3 y \cdot x^{6} + 2 x^{4} \cdot y^{2} + 2 x^{2} \cdot y^{4} + y^{6}

(2^{3} a^{8})^{2}