Solve (6(6)^(2)\times3(3586)^(2))^(22) | 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

$${ \left(6 { 6 }^{ 2 } \times 3 { 3586 }^{ 2 } \right) }^{ 22 }$$

Evaluate

$180926707134471617499074109747482186553979000192606440414024361247971744193148427548523710128508464412311818158206569518429385758042725740342017824051768890076216033676065847947204109641898067968123653082489365477720064$

Solution Steps

To multiply powers of the same base, add their exponents. Add $1$ and $2$ to get $3$.

$$\left(6^{3}\times 3\times 3586^{2}\right)^{22}$$

Calculate $6$ to the power of $3$ and get $216$.

$$\left(216\times 3\times 3586^{2}\right)^{22}$$

Multiply $216$ and $3$ to get $648$.

$$\left(648\times 3586^{2}\right)^{22}$$

Calculate $3586$ to the power of $2$ and get $12859396$.

$$\left(648\times 12859396\right)^{22}$$

Multiply $648$ and $12859396$ to get $8332888608$.

$$8332888608^{22}$$

Calculate $8332888608$ to the power of $22$ and get $180926707134471617499074109747482186553979000192606440414024361247971744193148427548523710128508464412311818158206569518429385758042725740342017824051768890076216033676065847947204109641898067968123653082489365477720064$.

$$180926707134471617499074109747482186553979000192606440414024361247971744193148427548523710128508464412311818158206569518429385758042725740342017824051768890076216033676065847947204109641898067968123653082489365477720064$$

Factor

$2^{110}\times 3^{88}\times 11^{44}\times 163^{44}$