Solve G=sqrt[60]{4^{5}*8^{10}*16^9*32^12*64^13*128^11}

$$G = \sqrt[ 60 ] { 4 ^ { 5 } \cdot 8 ^ { 10 } \cdot 16 ^ { 9 } \cdot 32 ^ { 12 } \cdot 64 ^ { 13 } \cdot 128 ^ { 11 } }$$

Solve for G

$$G=16\sqrt[60]{2251799813685248}\approx 28.840014804$$

Steps for Solving Linear Equation

Calculate 4 to the power of 5 and get 1024.

$$G=\sqrt[60]{1024\times 8^{10}\times 16^{9}\times 32^{12}\times 64^{13}\times 128^{11}}$$

Calculate 8 to the power of 10 and get 1073741824.

$$G=\sqrt[60]{1024\times 1073741824\times 16^{9}\times 32^{12}\times 64^{13}\times 128^{11}}$$

Multiply 1024 and 1073741824 to get 1099511627776.

$$G=\sqrt[60]{1099511627776\times 16^{9}\times 32^{12}\times 64^{13}\times 128^{11}}$$

Calculate 16 to the power of 9 and get 68719476736.

$$G=\sqrt[60]{1099511627776\times 68719476736\times 32^{12}\times 64^{13}\times 128^{11}}$$

Multiply 1099511627776 and 68719476736 to get 75557863725914323419136.

$$G=\sqrt[60]{75557863725914323419136\times 32^{12}\times 64^{13}\times 128^{11}}$$

Calculate 32 to the power of 12 and get 1152921504606846976.

$$G=\sqrt[60]{75557863725914323419136\times 1152921504606846976\times 64^{13}\times 128^{11}}$$

Multiply 75557863725914323419136 and 1152921504606846976 to get 87112285931760246646623899502532662132736.

$$G=\sqrt[60]{87112285931760246646623899502532662132736\times 64^{13}\times 128^{11}}$$

Calculate 64 to the power of 13 and get 302231454903657293676544.

$$G=\sqrt[60]{87112285931760246646623899502532662132736\times 302231454903657293676544\times 128^{11}}$$

Multiply 87112285931760246646623899502532662132736 and 302231454903657293676544 to get 26328072917139296674479506920917608079723773850137277813577744384.

$$G=\sqrt[60]{26328072917139296674479506920917608079723773850137277813577744384\times 128^{11}}$$

Calculate 128 to the power of 11 and get 151115727451828646838272.

$$G=\sqrt[60]{26328072917139296674479506920917608079723773850137277813577744384\times 151115727451828646838272}$$

Multiply 26328072917139296674479506920917608079723773850137277813577744384 and 151115727451828646838272 to get 3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448.

$$G=\sqrt[60]{3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448}$$

Assign G

$$G≔16\sqrt[60]{2251799813685248}$$