Solve -((4((4)^(2))^(2))^(2))^(2) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$- { \left( { \left(4 { \left( { 4 }^{ 2 } \right) }^{ 2 } \right) }^{ 2 } \right) }^{ 2 }$$

Evaluate

$-1099511627776$

Solution Steps

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

$$-\left(\left(4\times 4^{4}\right)^{2}\right)^{2}$$

To multiply powers of the same base, add their exponents. Add $1$ and $4$ to get $5$.

$$-\left(\left(4^{5}\right)^{2}\right)^{2}$$

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

$$-\left(4^{10}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply $10$ and $2$ to get $20$.

$$-4^{20}$$

Calculate $4$ to the power of $20$ and get $1099511627776$.

$$-1099511627776$$

Factor

$-1099511627776$