Solve [(-1/4)^16]^2=(-1/4)

$$[ ( \frac { - 1 } { 4 } ) ^ { 16 } ] ^ { 2 } = ( \frac { - 1 } { 4 } )$$

Verify

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 16 and 2 to get 32.

$$\left(\frac{-1}{4}\right)^{32}=\frac{-1}{4}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$\left(-\frac{1}{4}\right)^{32}=\frac{-1}{4}$$

Calculate -\frac{1}{4} to the power of 32 and get \frac{1}{18446744073709551616}.

$$\frac{1}{18446744073709551616}=\frac{-1}{4}$$

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$\frac{1}{18446744073709551616}=-\frac{1}{4}$$

Least common multiple of 18446744073709551616 and 4 is 18446744073709551616. Convert \frac{1}{18446744073709551616} and -\frac{1}{4} to fractions with denominator 18446744073709551616.

$$\frac{1}{18446744073709551616}=-\frac{4611686018427387904}{18446744073709551616}$$

Compare \frac{1}{18446744073709551616} and -\frac{4611686018427387904}{18446744073709551616}.

$$\text{false}$$