Solve (2^4)^7(42m^2)^4+35

$$( 2 ^ { 4 } ) ^ { 7 } ( 42 m ^ { 2 } ) ^ { 4 } + 35$$

Evaluate

$$835289534693376m^{8}+35$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 7 to get 28.

$$2^{28}\times \left(42m^{2}\right)^{4}+35$$

Calculate 2 to the power of 28 and get 268435456.

$$268435456\times \left(42m^{2}\right)^{4}+35$$

Expand \left(42m^{2}\right)^{4}.

$$268435456\times 42^{4}\left(m^{2}\right)^{4}+35$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$268435456\times 42^{4}m^{8}+35$$

Calculate 42 to the power of 4 and get 3111696.

$$268435456\times 3111696m^{8}+35$$

Multiply 268435456 and 3111696 to get 835289534693376.

$$835289534693376m^{8}+35$$

Expand

$$835289534693376m^{8}+35$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 7 to get 28.

$$2^{28}\times \left(42m^{2}\right)^{4}+35$$

Calculate 2 to the power of 28 and get 268435456.

$$268435456\times \left(42m^{2}\right)^{4}+35$$

Expand \left(42m^{2}\right)^{4}.

$$268435456\times 42^{4}\left(m^{2}\right)^{4}+35$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$268435456\times 42^{4}m^{8}+35$$

Calculate 42 to the power of 4 and get 3111696.

$$268435456\times 3111696m^{8}+35$$

Multiply 268435456 and 3111696 to get 835289534693376.

$$835289534693376m^{8}+35$$