Solve 1/34.5^25

$$\frac{ 1 }{ 3 } { 4.5 }^{ 2 } 5$$

Evaluate

$$33.75$$

Solution Steps

Calculate 4.5 to the power of 2 and get 20.25.

$$\frac{1}{3}\times 20.25\times 5$$

Convert decimal number 20.25 to fraction \frac{2025}{100}. Reduce the fraction \frac{2025}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{3}\times \frac{81}{4}\times 5$$

Multiply \frac{1}{3} times \frac{81}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 81}{3\times 4}\times 5$$

Do the multiplications in the fraction \frac{1\times 81}{3\times 4}.

$$\frac{81}{12}\times 5$$

Reduce the fraction \frac{81}{12} to lowest terms by extracting and canceling out 3.

$$\frac{27}{4}\times 5$$

Express \frac{27}{4}\times 5 as a single fraction.

$$\frac{27\times 5}{4}$$

Multiply 27 and 5 to get 135.

$$\frac{135}{4}$$

Factor

$$\frac{5 \cdot 3 ^ {3}}{2 ^ {2}} = 33\frac{3}{4} = 33.75$$