Solve (5-2)^5*3^-8+(5+2)^0

$$( 5 - 2 ) ^ { 5 } \cdot 3 ^ { - 8 } + ( 5 + 2 ) ^ { 0 }$$

Evaluate

$$\frac{28}{27}\approx 1.037037037$$

Solution Steps

Subtract 2 from 5 to get 3.

$$3^{5}\times 3^{-8}+\left(5+2\right)^{0}$$

Calculate 3 to the power of 5 and get 243.

$$243\times 3^{-8}+\left(5+2\right)^{0}$$

Calculate 3 to the power of -8 and get \frac{1}{6561}.

$$243\times \frac{1}{6561}+\left(5+2\right)^{0}$$

Multiply 243 and \frac{1}{6561} to get \frac{1}{27}.

$$\frac{1}{27}+\left(5+2\right)^{0}$$

Add 5 and 2 to get 7.

$$\frac{1}{27}+7^{0}$$

Calculate 7 to the power of 0 and get 1.

$$\frac{1}{27}+1$$

Add \frac{1}{27} and 1 to get \frac{28}{27}.

$$\frac{28}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3 ^ {3}} = 1\frac{1}{27} = 1.037037037037037$$