Solve 44/55*55^2=sqrt{5/5}

$$\frac{ 44 }{ 55 \times { 55 }^{ 2 } } = \sqrt{ \frac{ 5 }{ 5 } }$$

Verify

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{44}{55^{3}}=\sqrt{\frac{5}{5}}$$

Divide 5 by 5 to get 1.

$$\frac{44}{55^{3}}=\sqrt{1}$$

Calculate 55 to the power of 3 and get 166375.

$$\frac{44}{166375}=\sqrt{1}$$

Reduce the fraction \frac{44}{166375} to lowest terms by extracting and canceling out 11.

$$\frac{4}{15125}=\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$\frac{4}{15125}=1$$

Convert 1 to fraction \frac{15125}{15125}.

$$\frac{4}{15125}=\frac{15125}{15125}$$

Compare \frac{4}{15125} and \frac{15125}{15125}.

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