Solve -(4/3)^12*(-9/16)^6

$$- ( \frac { 4 } { 3 } ) ^ { 12 } \times ( - \frac { 9 } { 16 } ) ^ { 6 }$$

Evaluate

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Solution Steps

Calculate \frac{4}{3} to the power of 12 and get \frac{16777216}{531441}.

$$-\frac{16777216}{531441}\left(-\frac{9}{16}\right)^{6}$$

Calculate -\frac{9}{16} to the power of 6 and get \frac{531441}{16777216}.

$$-\frac{16777216}{531441}\times \frac{531441}{16777216}$$

Multiply -\frac{16777216}{531441} times \frac{531441}{16777216} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16777216\times 531441}{531441\times 16777216}$$

Cancel out 531441 in both numerator and denominator.

$$\frac{-16777216}{16777216}$$

Divide -16777216 by 16777216 to get -1.

$$-1$$

Factor

$$-1$$