`a)`\(\left(-\dfrac{1}{3}\right)^7.3^7=-\dfrac{1^7}{3^7}.3^7=-1^7=-1\)
`b)`\(\left(0,125\right)^3.512=\left(0,125.8\right)^3=1^3=1\)
`c)`\(\dfrac{90^2}{15^2}=\dfrac{\left(15.6\right)^2}{15^2}=\dfrac{15^2.6^2}{15^2}=6^2=36\)
`d)`\(\dfrac{790^4}{79^4}=\dfrac{\left(79.10\right)^4}{79^4}=\dfrac{79^4.10^4}{79^4}=10^4=10000\)
`a)(-1/3)^7 .3^7=[(-1)^7]/[3^7].3^7=(-1)^7=-1`
`b)(0,125)^3 .512=(1/8)^3 .8^3 =[1^3]/[8^3].8^3=1^3=1`
`c)[90^2]/[15^2]=[(15.6)^2]/[15^2]=[15^2 .6^2]/[15^2]=6^2=36`
`d)[790^4]/[79^4]=[(79.10)^4]/[79^4]=[79^4 .10^4]/[79^4]=10^4=10000`
\(a,\left(-\dfrac{1}{3}\right)^7.3^7=\left[\left(-\dfrac{1}{3}\right).3\right]^7=\left(-1\right)^7=-1\)
\(b,\left(0,125\right)^3.512=\left(0,125\right)^3.\left(8\right)^3=\left(0,125.8\right)^3=1^3=1\)
\(c,\dfrac{90^2}{15^2}=\left(\dfrac{90}{15}\right)^2=6^2\)
\(d,\dfrac{790^4}{79^4}=\left(\dfrac{790}{79}\right)^4=10^4\)