a) Exponential expressions have the next form:
[tex]b^x[/tex]where b is the base and x is the exponent. Substituting with b = -8 and x = 3, we get:
[tex](-8)^3=-512[/tex]b) In this case, the base is -2 and the exponent is 4:
[tex](-2)^4=16[/tex]c) In this case, the base is 30 and the exponent is 2:
[tex]30^2=900[/tex]d) In this case, the base is 0 and the exponent is 100:
[tex]0^{100}=0[/tex]Note that when the base is zero, the value of the expression is also zero.
e) In this case, the base is 9 and the exponent is 3:
[tex]9^3=729[/tex]