[tex](-4)(-5)^{5}[/tex] = (-4)(-5)(-5)(-5)(-5)(-5)
As the exponent of negative number is odd so the value of [tex](-5)^{5}[/tex] will be negative
[tex](-4)(-5)^{5}[/tex] = (-4)(-3125)
[tex](-4)(-5)^{5}[/tex] = 12500 ( negative times negative is positive)
[tex](-4)(-5)^{5}[/tex] = 125 × 100
[tex](-4)(-5)^{5}[/tex] =[tex](5)^{3}[/tex] × [tex](10)^{2}[/tex]
[tex](-4)(-5)^{5}[/tex] = [tex](5)^{3}[/tex] × [tex](2)^{2} (5)^{2}[/tex]
[tex](-4)(-5)^{5}[/tex] = [tex](5^{3+2})(2^{2})[/tex] ----( When the bases in the product are same then add the exponents)
So [tex](-4)(-5)^{5}[/tex] = [tex](5^{5})(2^{2})[/tex]
