Can someone help me out with this

Answer:
Step-by-step explanation:
a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50
Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}
b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61
c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴
In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ
d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵
In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ
e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵