Question

ayudaaaaaaaaa por favor la gente inteligente ​

Answer 1

Respuesta:

En el Paso a Paso

Explicación paso a paso:

Propiedades de la Potencia:

a) $a^{6} .a^{3} = a^{6+3} = a^{9}$

b) $a^{-5} .a^{1} = a^{-5+1} = a^{-4}$

c) $b^{1} .b^{x} = b^{1+x}$

d) $(p^{5} )^{6} = p^{5.6} = p^{30}$

e) $(b^{-2} )^{-8} = b^{-2 . -8} = b^{16}$

f) $(-3)^{a} .4^{a} = -3^{a}. 4^{a} = (-3.4)^{a} = (-12)^{a}$

g) $(\frac{1}{3} )^{x} . (\frac{6}{5} )^{x} = (\frac{1}{3} . \frac{6}{5})^{x} = (\frac{6}{15})^{x} = (\frac{2}{5} )^{x}$

h) $(3mn^{2})^{4} = (3)^{4} .m^{4} .n^{2.4} = 81.m^{4} .n^{8}$

i) $((3x)^{2} . (5x^{3})^{2} )^{3} = (3^{2} )^{3} .(x^{2} )^{3} .(5^{2} )^{3} .((x^{3} )^{2})^{3} = (3)^{6} .x^{6} .(5)^{6} .x^{18} = 729. x^{24} .15625 = 4359375.x^{24}$

j) $(\frac{a^{2x} }{a^{3} } )^{3} = \frac{a^{6x} }{a^{9} } = a^{6x-9}$

k) $(\frac{w^{3-m} }{w^{m} } )^{-1} = \frac{w^{m-3} }{w^{-m} } = w^{m-3+m} = w^{2m-3}$