Solve (-2)^-3*(-2)^-4quadtext{(ii)}p^3*p^-10

$$( - 2 ) ^ { - 3 } \times ( - 2 ) ^ { - 4 } \quad \text { (ii) } p ^ { 3 } \times p ^ { - 10 }$$

Evaluate

$$\frac{1}{128p^{7}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and -4 to get -7.

$$\left(-2\right)^{-7}iip^{3}p^{-10}$$

To multiply powers of the same base, add their exponents. Add 3 and -10 to get -7.

$$\left(-2\right)^{-7}iip^{-7}$$

Calculate -2 to the power of -7 and get -\frac{1}{128}.

$$-\frac{1}{128}iip^{-7}$$

Multiply -\frac{1}{128}i and i to get \frac{1}{128}.

$$\frac{1}{128}p^{-7}$$