Solve (-3/5)^29/25=0.36

$$( - \frac { 3 } { 5 } ) ^ { 2 } \frac { 9 } { 25 } = 0.36$$

Verify

Solution Steps

Calculate -\frac{3}{5} to the power of 2 and get \frac{9}{25}.

$$\frac{9}{25}\times \frac{9}{25}=0.36$$

Multiply \frac{9}{25} times \frac{9}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 9}{25\times 25}=0.36$$

Do the multiplications in the fraction \frac{9\times 9}{25\times 25}.

$$\frac{81}{625}=0.36$$

Convert decimal number 0.36 to fraction \frac{36}{100}. Reduce the fraction \frac{36}{100} to lowest terms by extracting and canceling out 4.

$$\frac{81}{625}=\frac{9}{25}$$

Least common multiple of 625 and 25 is 625. Convert \frac{81}{625} and \frac{9}{25} to fractions with denominator 625.

$$\frac{81}{625}=\frac{225}{625}$$

Compare \frac{81}{625} and \frac{225}{625}.

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