simplify 4^n*2^{-n}

Solution

simplify

4^{n} \cdot 2^{- n}

2^{n}

Solution steps

4^{n} \cdot 2^{- n}

Simplify

4^{n} : 2^{2 n}

= 2^{2 n} \cdot 2^{- n}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

2^{2 n} \cdot 2^{- n} = 2^{2 n - n}

= 2^{2 n - n}

Add similar elements:

2 n - n = n

= 2^{n}

169 a^{4} - 121 b^{4}

64 x^{6} - 729

\frac{( 9 x ^{3} - 9 x )}{( - 18 x ^{3} + 18 x )}

lo g_{10} (a^{2}) b^{3} c^{5}

\frac{( b ^{\frac{1}{3}} )}{( b ^{- \frac{3}{2}} \cdot b ^{\frac{1}{2}} )}