Solve -(-m^2)^5*(-m^3)^2

$$- ( - m ^ { 2 } ) ^ { 5 } \times ( - m ^ { 3 } ) ^ { 2 }$$

Evaluate

$$m^{16}$$

Solution Steps

Calculate -m^{3} to the power of 2 and get \left(m^{3}\right)^{2}.

$$\left(-\left(-m^{2}\right)^{5}\right)\left(m^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\left(-\left(-m^{2}\right)^{5}\right)m^{6}$$

Expand \left(-m^{2}\right)^{5}.

$$-\left(-1\right)^{5}\left(m^{2}\right)^{5}m^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$-\left(-1\right)^{5}m^{10}m^{6}$$

Calculate -1 to the power of 5 and get -1.

$$-\left(-1\right)m^{10}m^{6}$$

Multiply -1 and -1 to get 1.

$$m^{10}m^{6}$$

To multiply powers of the same base, add their exponents. Add 10 and 6 to get 16.

$$m^{16}$$

Expand

$$m^{16}$$

Solution Steps

Calculate -m^{3} to the power of 2 and get \left(m^{3}\right)^{2}.

$$\left(-\left(-m^{2}\right)^{5}\right)\left(m^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$\left(-\left(-m^{2}\right)^{5}\right)m^{6}$$

Expand \left(-m^{2}\right)^{5}.

$$-\left(-1\right)^{5}\left(m^{2}\right)^{5}m^{6}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$-\left(-1\right)^{5}m^{10}m^{6}$$

Calculate -1 to the power of 5 and get -1.

$$-\left(-1\right)m^{10}m^{6}$$

Multiply -1 and -1 to get 1.

$$m^{10}m^{6}$$

To multiply powers of the same base, add their exponents. Add 10 and 6 to get 16.

$$m^{16}$$