Question

Please help. simplify each of the following. Write your answer as a fraction OR integer.

Answer 1

$2^{-5} = \dfrac{1}{2^5} = \dfrac{1}{32}$

$3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}$

$5^{-4} = \dfrac{1}{5^4} = \dfrac{1}{25^2} = \dfrac{1}{625}$

$(3^3)^{-2} = 3^{-6} = \dfrac{1}{3^6} = \dfrac{1}{9^3} = \dfrac{1}{729}$

$\dfrac{1}{4^{-4}} = 4^4 = 16^2 = 256$

$\dfrac{1}{2^{-5}} = 2^5 = 32$

$(5^{-3})^{-2}=5^6 = 15625 \quad$

needed the calculator for that one

$\dfrac{4}{5^{-2}} = 4 \cdot 5^{2} = 4 \cdot 25 =100$

$3^{6} \times 3^{-2} = 3^{6 - 2} = 3^4 = 9^2=81$

$4^{-8} \times 4^5 = 4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{64}$