Solve {[(frac{2a^{3}}{a}+3a^{2})^{4}]^2}^0+[(4)^5]^0

$$\{ [ ( \frac { 2 a ^ { 3 } } { a } + 3 a ^ { 2 } ) ^ { 4 } ] ^ { 2 } \} ^ { 0 } + [ ( 4 ) ^ { 5 } ] ^ { 0 }$$

Evaluate

$$2$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 2 to get 8.

$$\left(\left(\frac{2a^{3}}{a}+3a^{2}\right)^{8}\right)^{0}+\left(4^{5}\right)^{0}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 0 to get 0.

$$\left(\frac{2a^{3}}{a}+3a^{2}\right)^{0}+\left(4^{5}\right)^{0}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 0 to get 0.

$$\left(\frac{2a^{3}}{a}+3a^{2}\right)^{0}+4^{0}$$

Cancel out a in both numerator and denominator.

$$\left(2a^{2}+3a^{2}\right)^{0}+4^{0}$$

Combine 2a^{2} and 3a^{2} to get 5a^{2}.

$$\left(5a^{2}\right)^{0}+4^{0}$$

Calculate 5a^{2} to the power of 0 and get 1.

$$1+4^{0}$$

Calculate 4 to the power of 0 and get 1.

$$1+1$$

Add 1 and 1 to get 2.

$$2$$

Factor

$$2$$